Factored polynomial x-intercepts (SAT). Game on.

Factored polynomial x-intercepts (SAT) is a grade 9 math skill aligned to Common Core standard HSF.IF.C.7: graph functions expressed symbolically and show key features of the graph. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 factored polynomial x-intercepts (sat) problems our math games drill.

CCSS HSF.IF.C.710 questions in the bank
Kickoff

8 plays. No signup.

Warm-upeasy

For which value of xx does the graph of y=(x+8)(x2)y = -(x + 8)(x - 2) meet the xx-axis?

Set y=0y = 0: (x+8)(x2)=0-(x + 8)(x - 2) = 0. The factor 1-1 is nonzero, so the zeros come from x+8=0x=8x + 8 = 0 \Rightarrow x = -8 and x2=0x=2x - 2 = 0 \Rightarrow x = 2. Of the choices, 8-8 is an x-coordinate of an x-intercept.

Mid-gameeasy

At what xx-value does the graph of y=4(x+12)(x3)(x+2)y = 4(x + 12)(x - 3)(x + 2) intercept the xx-axis?

Set y=0y = 0: 4(x+12)(x3)(x+2)=04(x + 12)(x - 3)(x + 2) = 0. The constant 404 \neq 0, so the zeros are x=12x = -12, x=3x = 3, and x=2x = -2. Among the choices, only 33 is an x-coordinate of an x-intercept.

Mid-gameeasy

For what value of xx does the graph of y=5(x11)(x+4)y = -5(x - 11)(x + 4) intercept the xx-axis?

Set y=0y = 0: 5(x11)(x+4)=0-5(x - 11)(x + 4) = 0. The constant 50-5 \neq 0, so the zeros are x=11x = 11 and x=4x = -4. Of the choices, 4-4 is an x-coordinate of an x-intercept.

Mid-gameeasy

The graph of f(x)=2(x6)(x1)(x+10)f(x) = 2(x - 6)(x - 1)(x + 10) meets the xx-axis at which value of xx?

Set f(x)=0f(x) = 0: 2(x6)(x1)(x+10)=02(x - 6)(x - 1)(x + 10) = 0. The constant 202 \neq 0, so the zeros are x=6x = 6, x=1x = 1, and x=10x = -10. Among the choices, only 10-10 is an x-coordinate of an x-intercept.

Mid-gameeasy

For which value of xx does the graph of y=(x15)(x+7)y = (x - 15)(x + 7) intercept the xx-axis?

Set y=0y = 0: (x15)(x+7)=0(x - 15)(x + 7) = 0. The zeros are x=15x = 15 and x=7x = -7. Of the choices, 1515 is an x-coordinate of an x-intercept.

Mid-gameeasy

The graph of y=2(x+15)(x8)(x+3)y = -2(x + 15)(x - 8)(x + 3) intercepts the xx-axis at which value of xx?

Set y=0y = 0: 2(x+15)(x8)(x+3)=0-2(x + 15)(x - 8)(x + 3) = 0. The constant 20-2 \neq 0, so the zeros are x=15x = -15, x=8x = 8, and x=3x = -3. Among the choices, only 88 is an x-coordinate of an x-intercept.

Mid-gameeasy

For what value of xx does the graph of f(x)=6(x+9)(x13)f(x) = 6(x + 9)(x - 13) meet the xx-axis?

Set f(x)=0f(x) = 0: 6(x+9)(x13)=06(x + 9)(x - 13) = 0. The constant 606 \neq 0, so the zeros are x=9x = -9 and x=13x = 13. Of the choices, 9-9 is an x-coordinate of an x-intercept.

Buzzer beatermedium

At what xx-value does the graph of y=3(x5)2(x+8)y = 3(x - 5)^2(x + 8) intercept the xx-axis?

Set y=0y = 0: 3(x5)2(x+8)=03(x - 5)^2(x + 8) = 0. The constant 303 \neq 0, so the zeros are x=5x = 5 (from the repeated factor) and x=8x = -8. Among the choices, only 55 is an x-coordinate of an x-intercept.

Drill it inside a game.

The free placement test finds your level, then every match serves factored polynomial x-intercepts (sat) questions at exactly the right difficulty.