This topic focuses on factoring quadratic equations with a leading coefficient. Students practice identifying and factoring out common factors between the first two terms and the last two terms of a quadratic expression. The problems presented require splitting the middle term of a quadratic equation to facilitate factoring and forming expressions where common factored groups are evident, often leading to expressions involving binomial factors. Each question includes two potential factored forms as answer options, enhancing problem-solving skills related to polynomial factoring, specifically in the context of quadratics with a leading coefficient.

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Factor the Quadratic Equation with Coefficient - Split X Terms To Partial Answer Worksheet

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Factor the Quadratic Equation with Coefficient - Split X Terms To Par...
1
Find common factors of the first 2 and last 2 terms
A LaTex expression showing 5w to the power of 2 + 45w + 8w + 72
a A LaTex expression showing 5w(w + 9) + 8(w + 9)
b A LaTex expression showing 5w(5w + 9) - 8(5w + 9)
2
Find common factors of the first 2 and last 2 terms
A LaTex expression showing 9m to the power of 2 + 54m + 8m + 48
a A LaTex expression showing 4m(9m + 6) - 8(9m + 6)
b A LaTex expression showing 9m(m + 6) + 8(m + 6)
3
Find common factors of the first 2 and last 2 terms
A LaTex expression showing 8z to the power of 2 + 32z + 5z + 20
a A LaTex expression showing 8z(8z + 4) - 5(8z + 4)
b A LaTex expression showing 8z(z + 4) + 5(z + 4)
4
Find common factors of the first 2 and last 2 terms
A LaTex expression showing 25m to the power of 2 + 45m + 30m + 54
a A LaTex expression showing 5m(5m + 9) + 6(5m + 9)
b A LaTex expression showing 5m(5m + 6) - 9(5m + 6)
5
Find common factors of the first 2 and last 2 terms
A LaTex expression showing 7m to the power of 2 + 35m + 6m + 30
a A LaTex expression showing 7m(7m + 5) + 6(7m + 5)
b A LaTex expression showing 7m(m + 5) + 6(m + 5)
6
Find common factors of the first 2 and last 2 terms
A LaTex expression showing 8q to the power of 2 + 20q + 18q + 45
a A LaTex expression showing 4q(2q + 5) + 9(2q + 5)
b A LaTex expression showing 2q(4q + 5) - 9(4q + 5)
7
Find common factors of the first 2 and last 2 terms
A LaTex expression showing 14r to the power of 2 + 63r + 16r + 72
a A LaTex expression showing 7r(2r + 9) + 8(2r + 9)
b A LaTex expression showing 7r(2r - 9) - 8(2r - 9)
8
Find common factors of the first 2 and last 2 terms
A LaTex expression showing 4w to the power of 2 + 20w + 3w + 15
a A LaTex expression showing 4w(7w + 5) + 3(7w + 5)
b A LaTex expression showing 4w(w + 5) + 3(w + 5)