Polynomial Functions and Solving Polynomial Equations

Write this polynomial in standard form.

• It is already in standard form.

Classify the following polynomial by degree and number of terms.
x^2+7-x

• Linear Binomial
  

• Quadratic Trinomial

• Quadratic Binomial

• Cubic Trinomial

• 2nd degree
  

• 3rd degree

• 4th degree

• 5th degree

Find the zeros of the function. State the multiplicities.

• a = 0

• a = 2

• a = -2, 0

• a = 2, 0

• a = 0 (repeated)

• a = 1 (repeated)

• a = 1 (repeated), 0 (repeated)

• a = -1 (repeated), 0 (repeated)

Solve: -6x-1+5x²=8x²

• x = 5 ±√67 /6

• x = 1, 2/7

• x = 1 ±√ 22

• x = 3 ±√6 / -3

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

What are two solutions to the polynomial:
x²+14x=0

• x=0, x= 14

• x=-14

• x= 1, x =10

• x= -14, x = 0 

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.