Multiply Binomials and Trinomials
Multiply Binomials
Time limit: 0
Quiz summary
0 of 6 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
Lets see your results!
Points
Score
Time
- 1
- 2
- 3
- 4
- 5
- 6
- Answered
- Review
-
Question 1 of 6
1. Question
Expand and simplify.`(x+2)(x-5)`Hint
Help VideoCorrect
Correct!
Incorrect
Help VideoDistributive Property
$$(\color{#00880A}{a}+\color{#00880A}{b})(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}(\color{#9a00c7}{c}+\color{#9a00c7}{d})+\color{#00880A}{b}(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}\color{#9a00c7}{c}+\color{#00880A}{a}\color{#9a00c7}{d}+\color{#00880A}{b}\color{#9a00c7}{c}+\color{#00880A}{b}\color{#9a00c7}{d}$$Use the Distributive Property to expand the expression: $$(\color{#00880A}{x}+\color{#00880A}{2})(\color{#9a00c7}{x}-\color{#9a00c7}{5})$$Step `1`: Write out one binomial twice.$$\;\;\;\;\;\;(\color{#9a00c7}{x}-\color{#9a00c7}{5})\;\;\;\;\;\;(\color{#9a00c7}{x}-\color{#9a00c7}{5})$$ Step `2`: Split and distribute the other binomial.$$\;\;\;\;\color{#00880A}{x}(\color{#9a00c7}{x}-\color{#9a00c7}{5})+\color{#00880A}{2}(\color{#9a00c7}{x}-\color{#9a00c7}{5})$$ Step `3`: Expand by multiplying each binomial.$$(\color{#00880A}{x})(\color{#9a00c7}{x})-(\color{#00880A}{x})(\color{#9a00c7}{5})+(\color{#00880A}{2})(\color{#9a00c7}{x})-(\color{#00880A}{2})(\color{#9a00c7}{5})$$ `=` `x^2-5x+2x-10` Step `4`: Collect like terms and simplify.`x^2` `-5x+2x` `-10` `=` `x^2-3x-10` `x^2-3x-10` -
Question 2 of 6
2. Question
Expand and simplify.`(x-8)(x+3)`Hint
Help VideoCorrect
Great Work!
Incorrect
Help VideoDistributive Property
$$(\color{#00880A}{a}+\color{#00880A}{b})(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}(\color{#9a00c7}{c}+\color{#9a00c7}{d})+\color{#00880A}{b}(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}\color{#9a00c7}{c}+\color{#00880A}{a}\color{#9a00c7}{d}+\color{#00880A}{b}\color{#9a00c7}{c}+\color{#00880A}{b}\color{#9a00c7}{d}$$Use the Distributive Property to expand the expression: $$(\color{#00880A}{x}-\color{#00880A}{8})(\color{#9a00c7}{x}+\color{#9a00c7}{3})$$Step `1`: Write out one binomial twice.$$\;\;\;\;\;\;(\color{#9a00c7}{x}+\color{#9a00c7}{3})\;\;\;\;\;\;(\color{#9a00c7}{x}+\color{#9a00c7}{3})$$ Step `2`: Split and distribute the other binomial.$$\;\;\;\;\color{#00880A}{x}(\color{#9a00c7}{x}+\color{#9a00c7}{3})-\color{#00880A}{8}(\color{#9a00c7}{x}+\color{#9a00c7}{3})$$ Step `3`: Expand by multiplying each binomial.$$(\color{#00880A}{x})(\color{#9a00c7}{x})+(\color{#00880A}{x})(\color{#9a00c7}{3})-(\color{#00880A}{8})(\color{#9a00c7}{x})-(\color{#00880A}{8})(\color{#9a00c7}{3})$$ `=` `x^2+3x-8x-24` Step `4`: Collect like terms and simplify.`x^2` `+3x-8x` `-24` `=` `x^2-5x-24` `x^2-5x-24` -
Question 3 of 6
3. Question
Expand and simplify.`(x+7)(x-4)`Hint
Help VideoCorrect
Keep Going!
Incorrect
Help VideoDistributive Property
$$(\color{#00880A}{a}+\color{#00880A}{b})(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}(\color{#9a00c7}{c}+\color{#9a00c7}{d})+\color{#00880A}{b}(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}\color{#9a00c7}{c}+\color{#00880A}{a}\color{#9a00c7}{d}+\color{#00880A}{b}\color{#9a00c7}{c}+\color{#00880A}{b}\color{#9a00c7}{d}$$Use the Distributive Property to expand the expression: $$(\color{#00880A}{x}+\color{#00880A}{7})(\color{#9a00c7}{x}-\color{#9a00c7}{4})$$Step `1`: Write out one binomial twice.$$\;\;\;\;\;\;(\color{#9a00c7}{x}-\color{#9a00c7}{4})\;\;\;\;\;\;(\color{#9a00c7}{x}-\color{#9a00c7}{4})$$ Step `2`: Split and distribute the other binomial.$$\;\;\;\;\color{#00880A}{x}(\color{#9a00c7}{x}-\color{#9a00c7}{4})+\color{#00880A}{7}(\color{#9a00c7}{x}-\color{#9a00c7}{4})$$ Step `3`: Expand by multiplying each binomial.$$(\color{#00880A}{x})(\color{#9a00c7}{x})-(\color{#00880A}{x})(\color{#9a00c7}{4})+(\color{#00880A}{7})(\color{#9a00c7}{x})-(\color{#00880A}{7})(\color{#9a00c7}{4})$$ `=` `x^2-4x+7x-28` Step `4`: Collect like terms and simplify.`x^2` `-4x+7x` `-28` `=` `x^2+3x-28` `x^2+3x-28` -
Question 4 of 6
4. Question
Expand and simplify.`(3x+4)(2x-5)`Hint
Help VideoCorrect
Fantastic!
Incorrect
Help VideoDistributive Property
$$(\color{#00880A}{a}+\color{#00880A}{b})(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}(\color{#9a00c7}{c}+\color{#9a00c7}{d})+\color{#00880A}{b}(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}\color{#9a00c7}{c}+\color{#00880A}{a}\color{#9a00c7}{d}+\color{#00880A}{b}\color{#9a00c7}{c}+\color{#00880A}{b}\color{#9a00c7}{d}$$Use the Distributive Property to expand the expression: $$(\color{#00880A}{3x}+\color{#00880A}{4})(\color{#9a00c7}{2x}-\color{#9a00c7}{5})$$Step `1`: Write out one binomial twice.$$\;\;\;\;\;\;(\color{#9a00c7}{2x}-\color{#9a00c7}{5})\;\;\;\;\;\;(\color{#9a00c7}{2x}-\color{#9a00c7}{5})$$ Step `2`: Split and distribute the other binomial.$$\;\;\;\;\color{#00880A}{3x}(\color{#9a00c7}{2x}-\color{#9a00c7}{5})+\color{#00880A}{4}(\color{#9a00c7}{2x}-\color{#9a00c7}{5})$$ Step `3`: Expand by multiplying each binomial.$$(\color{#00880A}{3x})(\color{#9a00c7}{2x})-(\color{#00880A}{3x})(\color{#9a00c7}{5})+(\color{#00880A}{4})(\color{#9a00c7}{2x})-(\color{#00880A}{4})(\color{#9a00c7}{5})$$ `=` `6x^2-15x+6x-20` Step `4`: Collect like terms and simplify.`6x^2` `-15x+6x` `-20` `=` `6x^2-9x-20` `6x^2-9x-20` -
Question 5 of 6
5. Question
Expand and simplify.`(5m-4)(3m+1)`Hint
Help VideoCorrect
Excellent!
Incorrect
Help VideoDistributive Property
$$(\color{#00880A}{a}+\color{#00880A}{b})(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}(\color{#9a00c7}{c}+\color{#9a00c7}{d})+\color{#00880A}{b}(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}\color{#9a00c7}{c}+\color{#00880A}{a}\color{#9a00c7}{d}+\color{#00880A}{b}\color{#9a00c7}{c}+\color{#00880A}{b}\color{#9a00c7}{d}$$Use the Distributive Property to expand the expression: $$(\color{#00880A}{5m}-\color{#00880A}{4})(\color{#9a00c7}{3m}+\color{#9a00c7}{1})$$Step `1`: Write out one binomial twice.$$\;\;\;\;\;\;(\color{#9a00c7}{3m}+\color{#9a00c7}{1})\;\;\;\;\;\;(\color{#9a00c7}{3m}+\color{#9a00c7}{1})$$ Step `2`: Split and distribute the other binomial.$$\;\;\;\;\color{#00880A}{5m}(\color{#9a00c7}{3m}+\color{#9a00c7}{1})-\color{#00880A}{4}(\color{#9a00c7}{3m}+\color{#9a00c7}{1})$$ Step `3`: Expand by multiplying each binomial.$$(\color{#00880A}{5m})(\color{#9a00c7}{3m})+(\color{#00880A}{5m})(\color{#9a00c7}{1})-(\color{#00880A}{4})(\color{#9a00c7}{3m})-(\color{#00880A}{4})(\color{#9a00c7}{1})$$ `=` `15m^2+5m-12m-4` Step `4`: Collect like terms and simplify.`15m^2` `+5m-12m` `-4` `=` `15m^2-7m-4` `15m^2-7m-4` -
Question 6 of 6
6. Question
Expand and simplify.`(8a-1)(2a+3)`Hint
Help VideoCorrect
Well Done!
Incorrect
Help VideoDistributive Property
$$(\color{#00880A}{a}+\color{#00880A}{b})(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}(\color{#9a00c7}{c}+\color{#9a00c7}{d})+\color{#00880A}{b}(\color{#9a00c7}{c}+\color{#9a00c7}{d})=\color{#00880A}{a}\color{#9a00c7}{c}+\color{#00880A}{a}\color{#9a00c7}{d}+\color{#00880A}{b}\color{#9a00c7}{c}+\color{#00880A}{b}\color{#9a00c7}{d}$$Use the Distributive Property to expand the expression: $$(\color{#00880A}{8a}-\color{#00880A}{1})(\color{#9a00c7}{2a}+\color{#9a00c7}{3})$$Step `1`: Write out one binomial twice.$$\;\;\;\;\;\;(\color{#9a00c7}{2a}+\color{#9a00c7}{3})\;\;\;\;\;\;(\color{#9a00c7}{2a}+\color{#9a00c7}{3})$$ Step `2`: Split and distribute the other binomial.$$\;\;\;\;\color{#00880A}{8a}(\color{#9a00c7}{2a}+\color{#9a00c7}{3})-\color{#00880A}{1}(\color{#9a00c7}{2a}+\color{#9a00c7}{3})$$ Step `3`: Expand by multiplying each binomial.$$(\color{#00880A}{8a})(\color{#9a00c7}{2a})+(\color{#00880A}{8a})(\color{#9a00c7}{3})-(\color{#00880A}{1})(\color{#9a00c7}{2a})-(\color{#00880A}{1})(\color{#9a00c7}{3})$$ `=` `16a^2+24a-2a-3` Step `4`: Collect like terms and simplify.`16a^2` `+24a-2a` `-3` `=` `16a^2+22a-3` `16a^2+22a-3`