This math topic focuses on practicing the factoring of quadratic equations once a common factor has been removed, specifically within the study of polynomials and quadratic expressions. The problems present quadratic equations and ask learners to factorize them correctly by selecting from multiple choice answers. Each question features representations of the quadratics and their factored forms in LaTeX format. This set of problems is part of a broader unit on polynomials factoring applied to quadratic equations.

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Factor the Quadratic Equation with Coefficient - Common Factor Removed To Answer Worksheet

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Factor the Quadratic Equation with Coefficient - Common Factor Remove...
1
Factor the quadratic now that the common factor has been removed
A LaTex expression showing -9p to the power of 2 - 27p + 90
a A LaTex expression showing -9(p + 5)(p + 2)
b A LaTex expression showing -9(p + 5)(p - 2)
c A LaTex expression showing 9(p + 90)(p - -3)
d A LaTex expression showing 9(p - 5)(p + 2)
e A LaTex expression showing -9(p - 5)(p - 2)
2
Factor the quadratic now that the common factor has been removed
A LaTex expression showing -8(q to the power of 2 + 6q - 8)
a A LaTex expression showing -8(q + 2)(q + 4)
b A LaTex expression showing -8(q - 2)(q - 4)
c A LaTex expression showing -8(q + 2)(q - 4)
d A LaTex expression showing 8(q - 2)(q + 4)
e A LaTex expression showing 8(q + 64)(q - 8)
3
Factor the quadratic now that the common factor has been removed
A LaTex expression showing -9(x to the power of 2 - 4x + 12)
a A LaTex expression showing -9(x - 6)(x - 2)
b A LaTex expression showing 9(x - 6)(x + 2)
c A LaTex expression showing -9(x + 6)(x - 2)
d A LaTex expression showing 9(x + 108)(x - 12)
e A LaTex expression showing -9(x + 6)(x + 2)
4
Factor the quadratic now that the common factor has been removed
A LaTex expression showing -3p to the power of 2 + 24p - 45
a A LaTex expression showing -3(p + 3)(p + 5)
b A LaTex expression showing -3(p + 3)(p - 5)
c A LaTex expression showing 3(p + 45)(p - 0)
d A LaTex expression showing -3(p - 3)(p - 5)
e A LaTex expression showing 3(p - 3)(p + 5)
5
Factor the quadratic now that the common factor has been removed
A LaTex expression showing -5(m to the power of 2 - 11m - 30)
a A LaTex expression showing -5(m - 5)(m - 6)
b A LaTex expression showing -5(m + 5)(m + 6)
c A LaTex expression showing 5(m + 150)(m - 30)
d A LaTex expression showing -5(m + 5)(m - 6)
e A LaTex expression showing 5(m - 5)(m + 6)
6
Factor the quadratic now that the common factor has been removed
A LaTex expression showing -4(m to the power of 2 + 11m - 30)
a A LaTex expression showing 4(m - 5)(m + 6)
b A LaTex expression showing -4(m + 5)(m + 6)
c A LaTex expression showing -4(m - 5)(m - 6)
d A LaTex expression showing 4(m + 120)(m - 30)
e A LaTex expression showing -4(m + 5)(m - 6)
7
Factor the quadratic now that the common factor has been removed
A LaTex expression showing -5z to the power of 2 - 55z - 90
a A LaTex expression showing -5(z + 2)(z + 9)
b A LaTex expression showing -5(z + 2)(z - 9)
c A LaTex expression showing -5(z - 2)(z - 9)
d A LaTex expression showing 5(z + 90)(z - -29)
e A LaTex expression showing 5(z - 2)(z + 9)
8
Factor the quadratic now that the common factor has been removed
A LaTex expression showing -7r to the power of 2 + 56r - 84
a A LaTex expression showing -7(r + 6)(r - 2)
b A LaTex expression showing -7(r - 6)(r - 2)
c A LaTex expression showing 7(r - 6)(r + 2)
d A LaTex expression showing -7(r + 6)(r + 2)
e A LaTex expression showing 7(r + 84)(r - 10)