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Algebraic Functions - Factor the Quadratic Equation with Coefficient (Level 1)

This math topic involves practicing the skill of factoring quadratic equations with coefficients. It is aimed at enhancing an understanding of algebraic functions as a part of advanced studies in polynomials and quadratics. Each question presents a quadratic expression, and students are required to identify the equivalent factored form among multiple choices. The topic helps in developing algebraic manipulation skills necessary for simplifying and solving quadratic equations.

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which answer is the same expression as this

5p2+29p+365p^2 + 29p + 36

Algebraic Functions - Factor the Quadratic Equation with Coefficient Worksheet

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Math worksheet on 'Algebraic Functions - Factor the Quadratic Equation with Coefficient (Level 1)'. Part of a broader unit on 'Polynomials and Quadratics - Advanced' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_advanced/
1
Which answer is the same expression as this
A LaTex expression showing 12d to the power of 2 + 36d + 24
a A LaTex expression showing (24d - 8)(d + 3)
b A LaTex expression showing (4d + 8)(3d + 3)
c A LaTex expression showing (4d + 8)(d + 3)
d A LaTex expression showing (3d + 8)(34d - 3)
e A LaTex expression showing (36d - 8)(4d + 3)
f A LaTex expression showing (3d + 8)(d + 3)
2
Which answer is the same expression as this
A LaTex expression showing 81p to the power of 2 + 81p + 18
a A LaTex expression showing (9p + 3)(p + 6)
b A LaTex expression showing (18p - 3)(p + 6)
c A LaTex expression showing (9p + 3)(99p - 6)
d A LaTex expression showing (9p + 3)(9p + 6)
e A LaTex expression showing (81p - 3)(9p + 6)
f A LaTex expression showing (9p + 3)(p + 6)
3
Which answer is the same expression as this
A LaTex expression showing 10r to the power of 2 + 37r + 30
a A LaTex expression showing (37r - 5)(2r + 6)
b A LaTex expression showing (5r + 5)(r + 6)
c A LaTex expression showing (5r + 5)(52r - 6)
d A LaTex expression showing (2r + 5)(r + 6)
e A LaTex expression showing (2r + 5)(5r + 6)
f A LaTex expression showing (30r - 5)(r + 6)
4
Which answer is the same expression as this
A LaTex expression showing 30y to the power of 2 + 87y + 63
a A LaTex expression showing (6y + 9)(y + 7)
b A LaTex expression showing (6y + 9)(5y + 7)
c A LaTex expression showing (5y + 9)(56y - 7)
d A LaTex expression showing (5y + 9)(y + 7)
e A LaTex expression showing (87y - 9)(6y + 7)
f A LaTex expression showing (63y - 9)(y + 7)
5
Which answer is the same expression as this
A LaTex expression showing 24b to the power of 2 + 48b + 24
a A LaTex expression showing (3b + 8)(38b - 3)
b A LaTex expression showing (8b + 8)(3b + 3)
c A LaTex expression showing (48b - 8)(8b + 3)
d A LaTex expression showing (8b + 8)(b + 3)
e A LaTex expression showing (3b + 8)(b + 3)
f A LaTex expression showing (24b - 8)(b + 3)
6
Which answer is the same expression as this
A LaTex expression showing 3p to the power of 2 + 31p + 56
a A LaTex expression showing (31p - 8)(6p + 7)
b A LaTex expression showing (56p - 8)(p + 7)
c A LaTex expression showing (p + 8)(p + 7)
d A LaTex expression showing (3p + 8)(36p - 7)
e A LaTex expression showing (3p + 8)(p + 7)
f A LaTex expression showing (p + 8)(3p + 7)
7
Which answer is the same expression as this
A LaTex expression showing 6y to the power of 2 + 37y + 45
a A LaTex expression showing (3y + 5)(2y + 9)
b A LaTex expression showing (37y - 5)(3y + 9)
c A LaTex expression showing (3y + 5)(y + 9)
d A LaTex expression showing (2y + 5)(23y - 9)
e A LaTex expression showing (45y - 5)(y + 9)
f A LaTex expression showing (2y + 5)(y + 9)