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

Level 1

This topic develops skills in factoring third-order polynomials. It involves using techniques like grouping and recognizing common factors while ensuring the leading coefficient is one. Each problem presents an expression and requires identifying an equivalent expression among multiple choices, emphasizing understanding of algebraic identities and manipulation of polynomial expressions.

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 1 Factors, Coefficient 1 Worksheet

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Factor Polynomials (Order 3) - By Grouping, Common Factors to Order 1...
1
Which answer is the same expression as this
A LaTex expression showing w to the power of 2 (w + 9) - 9(w + 9)
a A LaTex expression showing (w + 9)(w - 3)(w - 3)
b A LaTex expression showing (w + 9)(w - 3)(w + 3)
2
Which answer is the same expression as this
A LaTex expression showing y to the power of 2 (y - 2) - 64(y - 2)
a A LaTex expression showing (y - 2)(y - 8)(y + 8)
b A LaTex expression showing (y - 2)(y + 8)(y + 8)
3
Which answer is the same expression as this
A LaTex expression showing p to the power of 2 (p + 4) - 4(p + 4)
a A LaTex expression showing (p + 4)(p - 2)(p + 2)
b A LaTex expression showing (p - 4)(p + 2)(p - 2)
4
Which answer is the same expression as this
A LaTex expression showing x to the power of 2 (x + 5) - 16(x + 5)
a A LaTex expression showing (x + 5)(x - 4)(x + 4)
b A LaTex expression showing (x - 5)(x + 4)(x - 4)
5
Which answer is the same expression as this
A LaTex expression showing p to the power of 2 (p + 6) - 16(p + 6)
a A LaTex expression showing (p - 6)(p + 4)(p - 4)
b A LaTex expression showing (p + 6)(p - 4)(p + 4)
6
Which answer is the same expression as this
A LaTex expression showing x to the power of 2 (x + 8) - 16(x + 8)
a A LaTex expression showing (x - 8)(x + 4)(x - 4)
b A LaTex expression showing (x + 8)(x - 4)(x + 4)
7
Which answer is the same expression as this
A LaTex expression showing z to the power of 2 (z + 9) - 4(z + 9)
a A LaTex expression showing (z + 9)(z - 2)(z + 2)
b A LaTex expression showing (z - 9)(z + 2)(z + 2)
8
Which answer is the same expression as this
A LaTex expression showing t to the power of 2 (t - 3) - 4(t - 3)
a A LaTex expression showing (t - 3)(t + 2)(t - 2)
b A LaTex expression showing (t - 3)(t + 2)(t + 2)