Factoring a Polynomial

x² + 9x - 36

What is the first step when factoring polynomials?

• Make a table

• Fill in the first and last terms in the polynomial

• Make a list of factors of the last term

• Find the factors that have a SUM of the coefficient of the middle term in the polynomial

Which step gives you the factors of the polynomial?

• Make a table

• Fill in the first and last terms in the polynomial

• Make a list of factors of the last term

• Find the factors that have a SUM of the coefficient of the middle term in the polynomial

Factor

x² - 36

x² - 225

• ( x + 15) ( x + 15)

• Prime

• ( x - 15) ( x + 15)

• ( x - 15) ( x - 15)

What is the list of factors for the polynomial x²-5x-6?

• x, x, -2, -3

• x, x, 2, -3

• x, x, -2, 3

• x, x, 2, 3

Factor

x² + 81

Find the factors of 2b² + 14b - 16

• 2(b - 1)(b + 8)

• 6(b - 1)(b - 5)

• 2(b + 1)(b - 8)

• 2(b - 1)(b - 8)

Find the factors of

5k² - 18k + 9

• (5k - 3)(k - 3)

• (3k + 5)(k - 10)

• (2k - 1)(k + 6)

• (5k + 7)(k + 6)

Find the factors of

3b² + 17b + 20

• (2b - 5)(b - 7)

• (5b - 7)(b - 2)

• (b + 5)(3b + 4)

• (3b + 5)(b + 4)