Factor Polynomials (Order 4) - As Quadratic (True/False), Coefficient N

Level 1

This math topic involves practicing the factorization of fourth-order polynomials, treating them as quadratic expressions. Each question presents a polynomial expression and proposes a factored form. Students need to determine whether the factoring step is correct, answering with 'Yes' or 'No.' These exercises are part of an introductory unit on higher order polynomial factoring, aimed at developing skills in algebraic manipulation and verification of factorization results.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factor Polynomials (Order 4) - As Quadratic (True/False), Coefficient N Worksheet

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Factor Polynomials (Order 4) - As Quadratic (True/False), Coefficient...
1
A LaTex expression showing 64x to the power of 4 - 32x to the power of 2 - 21\\=(64x to the power of 2 + 7)(64x to the power of 2 - 3)
Is this factoring step correct?
a
No
b
Yes
2
A LaTex expression showing 64t to the power of 4 - 4\\=(64t to the power of 2 + 8)(64t to the power of 2 - 6)
Is this factoring step correct?
a
No
b
Yes
3
A LaTex expression showing 36z to the power of 4 + 42z to the power of 2 + 10\\=(6z to the power of 2 + 2)(6z to the power of 2 + 5)
Is this factoring step correct?
a
Yes
b
No
4
A LaTex expression showing 49n to the power of 4 + 84n to the power of 2 + 32\\=(32n to the power of 2 + 8)(n to the power of 2 - 4)
Is this factoring step correct?
a
No
b
Yes
5
A LaTex expression showing 25p to the power of 4 + 55p to the power of 2 + 30\\=(p to the power of 2 - 6)(30p to the power of 2 + 5)
Is this factoring step correct?
a
No
b
Yes
6
A LaTex expression showing 36y to the power of 4 - 18y to the power of 2 - 10\\=(6y to the power of 2 - 5)(6y to the power of 2 + 2)
Is this factoring step correct?
a
Yes
b
No
7
A LaTex expression showing 64q to the power of 4 + 8q to the power of 2 - 20\\=(8q to the power of 2 - 4)(8q to the power of 2 + 5)
Is this factoring step correct?
a
Yes
b
No
8
A LaTex expression showing 36n to the power of 4 - 4\\=(6n to the power of 2 + 2)(6n to the power of 2 - 2)
Is this factoring step correct?
a
Yes
b
No