Polynomial Functions

f(x) = x³ - 3x² - 4x

Find the zeros of f(x).

• {-4, 0, 1}

• {-1, 4}

• {-1, 0, 4}

• {-4, 1}

Write the polynomial with the given zeros

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3

Solve b⁴+2b²-24=0

• 
• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Write a polynomial in factored form with zeros at x = 1, x = -1 x = 0

• (x - 1)(x + 1)

• x(x - 1)(x + 1)

• x²(x - 1)(x + 1)

• x(x - 1)(x - 1)

Tags

CCSS.HSA.APR.B.3

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Which describes the number and type of roots of the equation x³+121x=0

• 1 real, 2 imaginary

• 2 real, 1 imaginary

• 3 real

• 3 imaginary

State the x-intercepts and whether they will cross or touch the x-axis.

y=-4x(x+3)²

• 4 cross, 0 cross, -3 touch

• 4 cross, -3 touch

• 0 cross, -3 touch

• 4 touch, -3 cross

State the x-intercepts and whether they will cross or touch the x-axis.

f(x)=3(x–2)(x+5)(x+1)

• 3 cross, 2 cross, -5 cross, -1 cross

• 2 cross, -5 cross, -1 cross

• 3 cross, 2 touch, -5 cross, -1 cross

• -2 cross, 5 cross, 1 cross

State the x-intercepts and whether they will cross or touch the x-axis.

f(x)=(x+2)³(x–6)⁴(x²+2)

• -2 cross, 6 touch, -2 touch

• -2 cross, 6 touch

• -2 cross, 6 touch, -2 cross

• -2 touch, 6 touch

State the y-intercept.

f(x) = 2x(x + 3)(x – 2)²

• 0

• 12

• -12

• 24