Topics
>
Pre - Algebra>
Multiply Binomials and Trinomials>
FOIL Method - 3 Terms>
FOIL Method – 3 TermsFOIL Method – 3 Terms
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
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...
- 1
- 2
- 3
- 4
- Answered
- Review
-
Question 1 of 4
1. Question
Expand and simplify.`(x+1)(x^2+4x+7)`Hint
Help VideoCorrect
Correct!
Incorrect
Use FOIL Method – 3 Terms to expand and simplify the expression.Multiply all the terms of the trinomial to the First and Last term of the binomial, then simplify.$$(\color{#D800AD}{x})(x^2)+(\color{#D800AD}{x})(4x)+(\color{#D800AD}{x})(7)+(\color{#9E8600}{1})(x^2)+(\color{#9E8600}{1})(4x)+(\color{#9E8600}{1})(7)$$ `=` `x^3+4x^2+7x+x^2+4x+7` `=` `x^3+(4x^2+x^2)+(7x+4x)+7` Collect like terms `=` `x^3+5x^2+11x+7` `x^3+5x^2+11x+7` -
Question 2 of 4
2. Question
Expand and simplify.`(a+3)(a^2-3a+9)`Hint
Help VideoCorrect
Fantastic!
Incorrect
Use FOIL Method – 3 Terms to expand and simplify the expression.Multiply all the terms of the trinomial to the First and Last term of the binomial, then simplify.$$(\color{#D800AD}{a})(a^2)+(\color{#D800AD}{a})(-3a)+(\color{#D800AD}{a})(9)+(\color{#9E8600}{3})(a^2)+(\color{#9E8600}{3})(-3a)+(\color{#9E8600}{3})(9)$$ `=` `a^3-3a^2+9a+3a^2-9a+27` `=` `a^3+(-3a^2+3a^2)+(9a-9a)+27` Collect like terms `=` `a^3+0+0+27` `=` `a^3+27` `a^3+27` -
Question 3 of 4
3. Question
Expand and simplify.`(6x-5)(4x^2+2x+1)`Hint
Help VideoCorrect
Great Work!
Incorrect
Use FOIL Method – 3 Terms to expand and simplify the expression.Multiply all the terms of the trinomial to the First and Last term of the binomial, then simplify.$$(\color{#D800AD}{6x})(4x^2)+(\color{#D800AD}{6x})(2x)+(\color{#D800AD}{6x})(1)+(\color{#9E8600}{-5})(4x^2)+(\color{#9E8600}{-5})(2x)+(\color{#9E8600}{-5})(1)$$ `=` `24x^3+12x^2+6x-20x^2-10x-5` `=` `24x^3` `+12x^2``+6x` `-20x^2` `-10x-5` Collect like terms `=` `24x^3-8x^2` `+6x-10x` `-5` Collect like terms `=` `24x^3-8x^2-4x-5` `24x^3-8x^2-4x-5` -
Question 4 of 4
4. Question
Expand and simplify.`(x+1)(x+3)(x+5)`Hint
Help VideoCorrect
Well Done!
Incorrect
First, use the FOIL Method to expand and simplify the expressions inside the second and third brackets.Multiply the First, Outside, Inside, and Last terms, then simplify.$$\color{#9E9E9E}{(x+1)}[\color{#00880A}{(x)(x)}+\color{#9a00c7}{(x)(5)}+\color{#007DDC}{(3)(x)}+\color{#e65021}{(3)(5)}]$$ `=` $$\color{#9E9E9E}{(x+1)}(x^2+5x+3x+15)$$ `=` $$\color{#9E9E9E}{(x+1)}(x^2\color{#CC0000}{+5x+3x}+15)$$ Collect like terms `=` `(x+1)(x^2+8x+15)` Finally, use FOIL Method – 3 Terms to expand and simplify the remaining values.Multiply all the terms of the trinomial to the First and Last term of the binomial, then simplify.$$(\color{#D800AD}{x})(x^2)+(\color{#D800AD}{x})(8x)+(\color{#D800AD}{x})(15)+(\color{#9E8600}{1})(x^2)+(\color{#9E8600}{1})(8x)+(\color{#9E8600}{1})(15)$$ `=` `x^3+8x^2+15x+x^2+8x+15` `=` `x^3` `+8x^2``+15x` `+x^2` `+8x+15` Collect like terms `=` `24x^3+9x^2` `+15x+8x` `+15` Collect like terms `=` `x^3+9x^2+23x+15` `x^3+9x^2+23x+15`