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

Level 1

This math topic focuses on practicing the skill of factoring third-order polynomials by grouping terms with common factors and verifying if the factoring steps are correct. It consists of multiple problems where each polynomial is partly factored, and the task is to determine if the shown factoring is accurate. The problems are structured as true/false questions, enhancing understanding of polynomial factoring techniques at an introductory level.

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 to Common Factors, Coefficient 1 (True/False) Worksheet

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Factor Polynomials (Order 3) - By Grouping to Common Factors, Coeffic...
1
A LaTex expression showing q to the power of 3 - 6q to the power of 2 - 4q + 24\\=q to the power of 2 (q - 4) - 4(q - 4)
Is this factoring step correct?
a
No
b
Yes
2
A LaTex expression showing w to the power of 3 + 2w to the power of 2 + 9w + 18\\=w to the power of 2 (w + 2) + 9(w + 2)
Is this factoring step correct?
a
Yes
b
No
3
A LaTex expression showing q to the power of 3 + 6q to the power of 2 + 5q + 30\\=q to the power of 2 (q + 6) + 5(q + 6)
Is this factoring step correct?
a
Yes
b
No
4
A LaTex expression showing z to the power of 3 + 4z to the power of 2 + 2z + 8\\=z to the power of 2 (z - 4) - 14(z - 4)
Is this factoring step correct?
a
No
b
Yes
5
A LaTex expression showing x to the power of 3 + 2x to the power of 2 + 6x + 12\\=x to the power of 2 (x - 2) - 30(x - 2)
Is this factoring step correct?
a
No
b
Yes
6
A LaTex expression showing r to the power of 3 - 7r to the power of 2 + 6r - 42\\=r to the power of 2 (r - 7) + 6(r - 7)
Is this factoring step correct?
a
Yes
b
No
7
A LaTex expression showing t to the power of 3 - 6t to the power of 2 + 2t - 12\\=t to the power of 2 (t - 6) + 2(t - 6)
Is this factoring step correct?
a
Yes
b
No
8
A LaTex expression showing p to the power of 3 - 3p to the power of 2 + 4p - 12\\=p to the power of 2 (p - 3) + 4(p - 3)
Is this factoring step correct?
a
Yes
b
No