SHSAT Math · Algebra

Polynomials & Quadratics Practice

Factor, expand, and solve quadratic equations. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

f(x) = x^{2} - 4x + 11

, what is

f(6)

A $-1$
B $23$
C $1$
D $43$

Show answer and explanation

Answer: B

Substitute

x = 6

(6)^{2} - 4(6) + 11 = 36 - 24 + 11 = 23

Question 2

f(x) = x^{2} + 4x - 6

, what is

f(4)

A $18$
B $38$
C $14$
D $26$

Show answer and explanation

Answer: D

Substitute

x = 4

(4)^{2} + 4(4) - 6 = 16 + 16 - 6 = 26

Question 3

f(x) = x^{2} - 5x - 8

, what is

f(6)

A $-2$
B $14$
C $-26$
D $23$

Show answer and explanation

Answer: A

Substitute

x = 6

(6)^{2} - 5(6) - 8 = 36 - 30 - 8 = -2

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Polynomials & Quadratics Practice

Free sample questions

Practice every polynomials & quadratics question we have

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