Factoring Polynomials Completely

What is the factored form of x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor x³ + 2x² - 49x - 98 

• (x² - 49) (x + 2) 

• (x² - 49) (x + 2) (x + 2) 

• (x + 7) (x - 7) (x + 2) 

20x³-25x²+4x-5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)

What does it mean to factor a polynomial completely?

• Writing it as a product of polynomials of lower degree

• Finding the GCF of all terms

• Writing it as a product of prime numbers

• Writing it as a product of its irreducible factors

Match each polynomial with the correct label for factoring.

• GCF Only

• Sum of Two Squares

• Difference of

  Two Cubes

• Sum of

  Two Cubes

• Difference of

  Two Squares

Given the real zeros 1/3, -1, and 2, write the factors and multiply to put in standard form.

When factoring a polynomial, why is it important to first factor out the GCF?

• It simplifies the polynomial, making further factoring steps easier.

• It is a requirement for the polynomial to be considered factored completely.

• It increases the degree of the polynomial.

• It changes the signs of the polynomial's terms.

Given the real zeros -1, 2, and 2, write the factors and multiply to put in standard form.