Factor Polynomials (Order 3) - By Grouping, Common Factors to Order 2 Factors, Coefficient 1 (True/False)

Level 1

This topic focuses on practicing factoring polynomials of order 3 by recognizing and utilizing common factors and grouping. It incorporates a true/false format to assess the correctness of a polynomial factoring step. This is part of a broader introduction to higher order polynomial factoring. The skills involved include identifying common factors, using algebraic manipulations to simplify expressions, and evaluating the accuracy of factoring processes. Each problem presents a polynomial expression and asks whether the provided factoring step is correct, contributing to a foundational understanding of polynomial algebra.

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

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Factor Polynomials (Order 3) - By Grouping, Common Factors to Order 2 Factors, Coefficient 1 (True/False) Worksheet

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Factor Polynomials (Order 3) - By Grouping, Common Factors to Order 2...
1
A LaTex expression showing p to the power of 2 (p + 5) + 3(p + 5)\\=(p + 5)(p to the power of 2 + 57)
Is this factoring step correct?
a
No
b
Yes
2
A LaTex expression showing x to the power of 2 (x + 8) + 9(x + 8)\\=(x + 8)(x to the power of 2 - 9)
Is this factoring step correct?
a
No
b
Yes
3
A LaTex expression showing m to the power of 2 (m + 7) + 4(m + 7)\\=(m + 7)(m to the power of 2 + 6)
Is this factoring step correct?
a
No
b
Yes
4
A LaTex expression showing q to the power of 2 (q - 8) + 9(q - 8)\\=(q - 8)(q to the power of 2 + 9)
Is this factoring step correct?
a
Yes
b
No
5
A LaTex expression showing y to the power of 2 (y + 5) + 6(y + 5)\\=(y + 5)(y to the power of 2 + 6)
Is this factoring step correct?
a
Yes
b
No
6
A LaTex expression showing q to the power of 2 (q - 5) - 4(q - 5)\\=(q + 5)(q to the power of 2 - 4)
Is this factoring step correct?
a
No
b
Yes
7
A LaTex expression showing w to the power of 2 (w + 8) + 3(w + 8)\\=(w + 8)(w to the power of 2 + 3)
Is this factoring step correct?
a
Yes
b
No
8
A LaTex expression showing x to the power of 2 (x - 8) + 5(x - 8)\\=(x - 8)(x to the power of 2 + 5)
Is this factoring step correct?
a
Yes
b
No