Polynomial Equation

What kind of polynomial equation is x³+x+1=0?

• linear equation

• quadratic equation

• cubic equation

• quartic equation

Tags

CCSS.8.EE.C.7B

What is the degree of the polynomial equation x²−2x+x⁴+4=0?

• 1

• 2

• 3

• 4

Which of the following are solutions of the polynomial equation x³−4x²−x+4=0

• -1

• -2

• -3

• -4

• a = 0

• a = 2

• a = -2, 0

• a = 2, 0

Tags

CCSS.HSA-REI.B.4B

Solve: -6x-1+5x²=8x²

• x = 5 ±√67 /6

• x = 1, 2/7

• x = 1 ±√ 22

• x = 3 ±√6 / -3

Tags

CCSS.HSA-REI.B.4B

Solve x⁴ - 256 = 0

• x = 4, x = - 4

• x = 4, x = 4i

• x = 4, x -4, x = 4i

• x = 4, x -4, x = 4i,         x = -4i

Tags

CCSS.HSA-REI.B.4B

What are the solutions to the polynomial equation?
Choose ALL that apply.

• 2

• -2

• -3

• 3

Answer explanation

The roots of the polynomial equation can be found by factoring the equation as (x-1)(x+2)(x-3)=0. Therefore, x = 1, -2, 3.

Tags

CCSS.HSA-REI.B.4B

Which of the following is not a polynomial equation.

• 2x³−x²=x−1

• 0.25x⁴+1.74x³−0.10x²=1.3

• x⁻⁴+x−2+4=0

• x+2x²=0

If the equation 2x ² + x = x ² −3 is to be simplified, which of the equations will it become?

• 2x²+x-3

• X²+x+3=0

• 2x²+x=3

• x²+x=-3

Tags

CCSS.HSA-REI.B.4B