Topics
>
Precalculus>
Complex Numbers>
Complex Numbers  Product of Linear Factors>
Complex Numbers – Product of Linear Factors 1Complex Numbers – Product of Linear Factors 1
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
Write out as a product of linear factors.
`x^2+16`
Correct
Great Work!
Incorrect
The products of linear factors can be found using the formulas `a^2b^2=(a+b)(ab)` and `a^2+b^2=(abi)(a+bi)`.To write out `x^2+16` as a product of linear factors, use the formula `a^2+b^2=(abi)(a+bi)` where `a=sqrt(x^2)=x` and `b=sqrt(16)=4`.`x^2+16` `=` `(x4i)(x+4i)` `(x4i)(x+4i)` 
Question 2 of 4
2. Question
Write out as a product of linear factors.
`x^2+3`
Correct
Great Work!
Incorrect
The products of linear factors can be found using the formulas `a^2b^2=(a+b)(ab)` and `a^2+b^2=(abi)(a+bi)`.To write out `x^2+3` as a product of linear factors, use the formula `a^2+b^2=(abi)(a+bi)` where `a=sqrt(x^2)=x` and `b=sqrt3`.`x^2+3` `=` `(xisqrt3)(x+isqrt3)` `(xisqrt3)(x+isqrt3)` 
Question 3 of 4
3. Question
Write out as a product of linear factors.
`4x^2+1`
Correct
Great Work!
Incorrect
The products of linear factors can be found using the formulas `a^2b^2=(a+b)(ab)` and `a^2+b^2=(abi)(a+bi)`.To write out `4x^2+1` as a product of linear factors, use the formula `a^2+b^2=(abi)(a+bi)` where `a=sqrt(4x^2)=2x` and `b=sqrt(1)=1`.`4x^2+1` `=` `(2xi)(2x+i)` `(2xi)(2x+i)` 
Question 4 of 4
4. Question
Write out as a product of linear factors.
`5x^2+9`
Correct
Great Work!
Incorrect
The products of linear factors can be found using the formulas `a^2b^2=(a+b)(ab)` and `a^2+b^2=(abi)(a+bi)`.To write out `5x^2+9` as a product of linear factors, use the formula `a^2+b^2=(abi)(a+bi)` where `a=sqrt(5x^2)=sqrt5x` and `b=sqrt(9)=3`.`5x^2+9` `=` `(sqrt5x3)(sqrt5x+3)` `(sqrt5x3)(sqrt5x+3)`
Quizzes
 Simplify Roots of Negative Numbers 1
 Simplify Roots of Negative Numbers 2
 Powers of the Imaginary Unit 1
 Powers of the Imaginary Unit 2
 Solve Quadratic Equations with Complex Solutions 1
 Solve Quadratic Equations with Complex Solutions 2
 Equality of Complex Numbers
 Add and Subtract Complex Numbers 1
 Add and Subtract Complex Numbers 2
 Multiply Complex Numbers 1
 Multiply Complex Numbers 2
 Divide Complex Numbers
 Complex Numbers – Product of Linear Factors 1
 Complex Numbers – Product of Linear Factors 2
 Mixed Operations with Complex Numbers