Factor Polynomials (Order 3) - Sum of Cubes (True/False), Coefficient N

Level 1

This math topic focuses on factoring third-order polynomials, specifically testing the correctness of sum of cubes factoring with varying coefficients. The problems present polynomial expressions and their purported factors, asking students to evaluate whether the factoring is accurate. A typical problem includes a polynomial expressed as a sum or difference of cubes and presents a factored form. Students have to choose between "Yes" or "No" to indicate whether the provided factoring step is correct. This exercise is designed to enhance polynomial factoring skills and reinforce algebraic fundamentals in dealing with cubic equations.

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

more

Factor Polynomials (Order 3) - Sum of Cubes (True/False), Coefficient N Worksheet

Mobius Math Academy logo
Factor Polynomials (Order 3) - Sum of Cubes (True/False), Coefficient...
1
A LaTex expression showing 64q to the power of 3 + 27\\=(4q + 3)(16q to the power of 2 - 12q + 9)
Is this factoring step correct?
a
Yes
b
No
2
Is this factoring step correct?
A LaTex expression showing 64q to the power of 3 + 27\\=(4q + 64)(16q to the power of 2 - 12q + 9)
a
No
b
Yes
3
A LaTex expression showing 216p to the power of 3 - 8\\=(6p + 2)(12p to the power of 2 - 36p + 4)
Is this factoring step correct?
a
No
b
Yes
4
Is this factoring step correct?
A LaTex expression showing 216y to the power of 3 - 64\\=(6y + 216)(36y to the power of 2 - 24y + 16)
a
No
b
Yes
5
Is this factoring step correct?
A LaTex expression showing 64m to the power of 3 - 125\\=(4m + 5)(16m to the power of 2 - 20m + 25)
a
No
b
Yes
6
Is this factoring step correct?
A LaTex expression showing 64w to the power of 3 - 216\\=(4w - 6)(16w to the power of 2 + 24w - 36)
a
Yes
b
No
7
A LaTex expression showing 8w to the power of 3 + 27\\=(2w + 8)(4w to the power of 2 - 6w + 9)
Is this factoring step correct?
a
No
b
Yes
8
A LaTex expression showing 8y to the power of 3 + 64\\=(2y + 4)(4y to the power of 2 - 8y + 16)
Is this factoring step correct?
a
Yes
b
No