This worksheet covers Factoring With Coefficient of One, which is part of the Quadratics Destroyer module in the SAT Math Destroyer Crash Course course. Practice problems are designed to strengthen key concepts and build confidence.
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Set 2 — Mastery
Factor the quadratic expression .
(x + 2)(x + 3)
(x + 1)(x + 6)
(x + 3)(x + 2)
(x + 4)(x + 2)
A rectangle has an area represented by the quadratic expression . What are the dimensions of the rectangle?
x + 2 and x + 5
x + 1 and x + 10
x + 3 and x + 4
x + 5 and x + 2
Factor the expression .
(x - 3)(x + 3)
(x - 4)(x + 4)
(x - 1)(x + 1)
(x + 3)(x + 3)
Which of the following expressions can be factored as ?
(x + 4)(x + 4)
(x + 2)(x + 8)
(x + 1)(x + 15)
(x + 5)(x + 3)
If factors to , what is the value of if and ?
7
12
1
5
Factor the expression .
(x - 2)(x - 3)
(x - 1)(x - 6)
(x - 3)(x + 2)
(x + 2)(x + 3)
A student is asked to factor the polynomial . What should be the factored form?
(x + 2)(x + 2)
(x + 1)(x + 4)
(x + 4)(x + 1)
(x + 3)(x + 1)
If is factored, what will the resulting binomials be?
(x + 3)(x + 7)
(x + 2)(x + 9)
(x + 1)(x + 20)
(x + 5)(x + 4)
Factor the polynomial .
(x - 6)(x - 6)
(x - 4)(x - 9)
(x - 2)(x - 18)
(x - 3)(x - 12)
Which of the following is the factored form of ?
(x + 2)(x + 4)
(x + 1)(x + 8)
(x + 3)(x + 3)
(x + 5)(x + 1)
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