This math topic emphasizes practicing factoring quadratic equations where common factors are already removed. The problems involve identifying and applying factoring techniques to simplify quadratic expressions further into binomials. The worksheet includes multiple-choice format questions where each problem presents a quadratic and requires selecting the correctly factored form from given options.

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

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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 6(p to the power of 2 - 7p + 10)
a A LaTex expression showing 6(p - 2)(p - 5)
b A LaTex expression showing 6(p + 60)(p - 10)
2
Factor the quadratic now that the common factor has been removed
A LaTex expression showing 7(z to the power of 2 - 4z - 21)
a A LaTex expression showing 7(z + 147)(z - 21)
b A LaTex expression showing 7(z + 3)(z - 7)
3
A LaTex expression showing 2x to the power of 2 - 24x + 70
Factor the quadratic now that the common factor has been removed
a A LaTex expression showing 2(x - 7)(x + 5)
b A LaTex expression showing 2(x - 7)(x - 5)
4
A LaTex expression showing 6(q to the power of 2 - 5q + 6)
Factor the quadratic now that the common factor has been removed
a A LaTex expression showing 6(q + 3)(q - 6)
b A LaTex expression showing 6(q - 3)(q - 2)
5
A LaTex expression showing 2(n to the power of 2 - 5n - 14)
Factor the quadratic now that the common factor has been removed
a A LaTex expression showing 2(n + 2)(n + 7)
b A LaTex expression showing 2(n + 2)(n - 7)
6
Factor the quadratic now that the common factor has been removed
A LaTex expression showing 2w to the power of 2 + 4w - 126
a A LaTex expression showing 2(w + 126)(w - 68)
b A LaTex expression showing 2(w + 9)(w - 7)
7
A LaTex expression showing 6p to the power of 2 - 48p + 72
Factor the quadratic now that the common factor has been removed
a A LaTex expression showing 6(p - 6)(p - 2)
b A LaTex expression showing 6(p + 6)(p - 48)
8
Factor the quadratic now that the common factor has been removed
A LaTex expression showing 5r to the power of 2 + 5r - 100
a A LaTex expression showing 5(r + 5)(r - 4)
b A LaTex expression showing 5(r + 100)(r - 60)