Solving Polynomials

Solving Polynomials

By Factoring

Poll

How do you feel about your factoring skills?

• I feel I can factor well.

• I feel I can factor ok.

• I feel I may need support in factoring.

• I feel I cannot factor at all.

Multiple Choice

What are the factors for x³+x?

• x(x²+1)

• x(x+1)(x-1)

• x(x)(x+1)

• x²(x+1)

Multiple Select

If the factors of X³ + X = X ( x² +1), what are the zeros of the polynomial?

• X= 0

  X= +1

  X= -1

• X = 0

  X = +1i

  X = -1i

• X=0

Fill in the Blank

The __________ tells us how many solutions we will have for our polynomial.

Multiple Choice

What are the factors for 5x⁵ - 80x?

• 5(x⁵ - 16x)

• x(5x⁴ - 80)

• 5x(x⁴ - 16)

• 5x(x² - 4)(x² +4)

• 5x(x² +4)(x -2)(x +2)

Open Ended

If the factors for 5x⁵ -80x = 5x ( x² +4)(x -2)(x+2), what are the zeros for this polynomial?

Solving Polynomials by Factoring

• Re-arrange the equation until one side = 0.

• Factor the polynomial completely.

• Set each factor equal to zero and solve.