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SAT Math - Quadratics - Factoring Quadratics | Worksheet

Factoring Quadratics

This worksheet covers Factoring Quadratics, which is part of the Quadratics module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Related Lessons:

Solving Quadratics
Properties of Quadratics

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Factoring Quadratics

Quadratics • SAT Math

Set 1 — Foundation

Factor the quadratic expression: $x^{2} + 5x + 6$ .

(x + 2)(x + 3)

(x + 1)(x + 6)

(x + 3)(x + 2)

(x + 6)(x + 1)

Which of the following is the factored form of $x^{2} - 9$ ?

(x - 3)(x + 3)

(x - 1)(x + 9)

(x - 9)(x + 1)

(x + 9)(x - 1)

Factor the quadratic expression: $x^{2} + 4x + 4$ .

(x + 2)(x + 2)

(x + 1)(x + 4)

(x + 4)(x + 1)

(x + 2)(x - 2)

What is the factored form of $x^{2} - 5x + 6$ ?

(x - 2)(x - 3)

(x + 2)(x + 3)

(x - 1)(x - 6)

(x + 1)(x + 6)

Factor the expression: $2x^{2} + 8x$ .

2x(x + 4)

2(x^{2} + 4x)

x(2x + 8)

2x^{2}(x + 4)

Which expression factors to $(x - 4)(x + 1)$ ?

$x^{2} - 3x - 4$

What is the factored form of $3x^{2} + 12x$ ?

3x(x + 4)

x(3x + 12)

3(x^{2} + 4x)

(3x)(x + 4)

Factor the expression: $x^{2} - 10x + 25$ .

(x - 5)(x - 5)

(x - 5)(x + 5)

(x + 5)(x + 5)

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Other Sets

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Other Sets

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3x−

$x^{2} + 3x - 4$

$x^{2} - 5x + 4$

$x^{2} - 5x - 4$

(x - 2)(x - 12)

Which expression factors to $(x - 1)(x + 3)$ ?

$x^{2} + 2x - 3$

$x^{2} - 2x - 3$

$x^{2} + 4x - 3$

$x^{2} - 4x + 3$

10.

Factor $x^{2} - 6x + 8$ .

(x - 2)(x - 4)

(x - 1)(x - 8)

(x + 2)(x + 4)

(x - 4)(x - 2)