Homework Set 8-3 INT ALG

What is the greatest common factor of the terms of 3y² - 21y + 36?

Before you start factoring a polynomial by guessing and checking, you should always check for a ____.

• common factor

• variable term

• leading coefficient

• constant term

Factor the trinomial using a guess and check method: p² + 11p + 30.

• (p + 5)(p + 6)

• (p + 3)(p + 10)

• (p + 2)(p + 15)

• (p + 1)(p + 30)

Factor the trinomial using a guess and check method: x² - 2xy - 80y².

Factor the trinomial using a guess and check method: p² - 2pq - 35q².

Factor the trinomial using a guess and check method: m² - 11mn + 30n².

• (m - 5n)(m - 6n)

• (m - 3n)(m - 10n)

• (m - 2n)(m - 15n)

• (m - 1n)(m - 30n)

Factor the trinomial using a guess and check method: c² - 7cd + 18d².

Factor using substitution: (x - 3)² - 5(x - 3) - 36.

Factor using substitution: x⁴ - 6x² - 7.

• (x² - 7)(x² + 1)

• (x² - 1)(x² + 7)

• (x² - 3)(x² + 3)

• (x² - 7)(x² + 1)