Factor the Quadratic Equation (Level 2)

This math topic focuses on advanced Algebraic Functions, specifically concerning the operation of factoring Quadratic Equations, formulating them as the multiplication of two binomial expressions. The learners need to identify the right equivalent representation of a given quadratic equation from a multiple-choice list. The variables used in the equations include x, b, c, and z.

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

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Algebraic Functions - Factor the Quadratic Equation Worksheet

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Algebraic Functions - Factor the Quadratic Equation
1
Which answer is the same expression as this
A LaTex expression showing z to the power of 2 - 16
a A LaTex expression showing (z + 8)(z - 8)
b A LaTex expression showing (z + 4)(z - 4)
c A LaTex expression showing (16z - 4)(z + 4)
d A LaTex expression showing (z - 4)(z - 4)
e A LaTex expression showing (z - 8)(z + 8)
f A LaTex expression showing (z + 4)(z + 4)
2
Which answer is the same expression as this
A LaTex expression showing x to the power of 2 - 36
a A LaTex expression showing (36x - 6)(x + 6)
b A LaTex expression showing (x + 6)(x - 6)
c A LaTex expression showing (x - 12)(x + 12)
d A LaTex expression showing (x + 12)(x - 12)
e A LaTex expression showing (x + 6)(x + 6)
f A LaTex expression showing (x - 6)(x - 6)
3
Which answer is the same expression as this
A LaTex expression showing x to the power of 2 - 9
a A LaTex expression showing (9x - 3)(x + 3)
b A LaTex expression showing (x - 6)(x + 6)
c A LaTex expression showing (x + 6)(x - 6)
d A LaTex expression showing (x + 3)(x - 3)
e A LaTex expression showing (x - 3)(x - 3)
f A LaTex expression showing (x + 3)(x + 3)
4
Which answer is the same expression as this
A LaTex expression showing n to the power of 2 - 8n + 15
a A LaTex expression showing (n + 3)(n + 5)
b A LaTex expression showing (n - 3)(n - 5)
c A LaTex expression showing (2n - 3)(n + 5)
d A LaTex expression showing (15n - 3)(n + 5)
e A LaTex expression showing (n + 3)(n - 5)
f A LaTex expression showing (n - 3)(15n + 5)
5
Which answer is the same expression as this
A LaTex expression showing b to the power of 2 - 9
a A LaTex expression showing (b - 6)(b + 6)
b A LaTex expression showing (b + 3)(b - 3)
c A LaTex expression showing (b + 6)(b - 6)
d A LaTex expression showing (b + 3)(b + 3)
e A LaTex expression showing (b - 3)(b - 3)
f A LaTex expression showing (9b - 3)(b + 3)
6
Which answer is the same expression as this
A LaTex expression showing z to the power of 2 - 36
a A LaTex expression showing (z + 12)(z - 12)
b A LaTex expression showing (z - 12)(z + 12)
c A LaTex expression showing (z + 6)(z - 6)
d A LaTex expression showing (z - 6)(z - 6)
e A LaTex expression showing (z + 6)(z + 6)
f A LaTex expression showing (36z - 6)(z + 6)
7
Which answer is the same expression as this
A LaTex expression showing m to the power of 2 + 1m - 42
a A LaTex expression showing (1m - 7)(m + 6)
b A LaTex expression showing (m + 7)(m - 6)
c A LaTex expression showing (42m - 7)(m + 6)
d A LaTex expression showing (m + 7)(m + 6)
e A LaTex expression showing (m - 7)(m + 6)
f A LaTex expression showing (m - 7)(m - 6)
8
Which answer is the same expression as this
A LaTex expression showing z to the power of 2 - 3z - 54
a A LaTex expression showing (54z - 6)(z + 9)
b A LaTex expression showing (z + 6)(z + 9)
c A LaTex expression showing (z + 6)(z - 9)
d A LaTex expression showing (3z - 6)(z + 9)
e A LaTex expression showing (z - 6)(z + 9)
f A LaTex expression showing (z - 6)(z - 9)