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

Level 1

This topic covers the practice of factoring quadratic equations that include a leading coefficient. The skill emphasized is identifying and using common factors of the first two terms and the last two terms in the quadratic expression. The worksheet involves solving various quadratic equations by factoring, providing both correct and incorrect answer choices. This allows learners to evaluate their understanding of polynomial factorization of quadratics with leading coefficients.

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 - Split X Terms To Answer Worksheet

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Factor the Quadratic Equation with Coefficient - Split X Terms To Ans...
1
Find common factors of the first 2 and last 2 terms, and solve.
A LaTex expression showing 63t to the power of 2 + 28t + 81t + 36
a A LaTex expression showing (9t + 4)(t + 9)
b A LaTex expression showing (9t + 4)(7t + 9)
2
Find common factors of the first 2 and last 2 terms, and solve.
A LaTex expression showing 21n to the power of 2 + 6n + 49n + 14
a A LaTex expression showing (7n + 2)(3n + 7)
b A LaTex expression showing (14n + 2)(n - 7)
3
Find common factors of the first 2 and last 2 terms, and solve.
A LaTex expression showing 6y to the power of 2 + 16y + 21y + 56
a A LaTex expression showing (2y + 8)(56y + 7)
b A LaTex expression showing (3y + 8)(2y + 7)
4
Find common factors of the first 2 and last 2 terms, and solve.
A LaTex expression showing 8t to the power of 2 + 56t + 3t + 21
a A LaTex expression showing (8t + 7)(t + 3)
b A LaTex expression showing (t + 7)(8t + 3)
5
Find common factors of the first 2 and last 2 terms, and solve.
A LaTex expression showing 5w to the power of 2 + 45w + 6w + 54
a A LaTex expression showing (w + 9)(5w + 6)
b A LaTex expression showing (54w - 9)(w + 6)
6
Find common factors of the first 2 and last 2 terms, and solve.
A LaTex expression showing 9w to the power of 2 + 54w + 5w + 30
a A LaTex expression showing (59w + 6)(3w + 5)
b A LaTex expression showing (w + 6)(9w + 5)
7
Find common factors of the first 2 and last 2 terms, and solve.
A LaTex expression showing 4n to the power of 2 + 16n + 3n + 12
a A LaTex expression showing (19n + 4)(3n + 3)
b A LaTex expression showing (n + 4)(4n + 3)
8
Find common factors of the first 2 and last 2 terms, and solve.
A LaTex expression showing 8x to the power of 2 + 32x + 9x + 36
a A LaTex expression showing (8x + 4)(82x - 9)
b A LaTex expression showing (x + 4)(8x + 9)