Factoring Quadratic Expressions

Factor the polynomial x² - 3x - 18

• (x - 6)(x + 3)

• (x + 6)(x - 3)

• (x - 9)(x + 2)

• (x - 2)(x + 9)

Factor the polynomial x² - 4x - 5

• (x - 5)(x - 1)

• (x - 5)(x + 1)

• (x + 5)(x - 1)

• (x + 5)(x + 1)

Factor the polynomial 2x² + 9x - 5

• (2x - 1)(x + 5)

• (2x + 1)(x + 5)

• (2x + 1)(x - 5)

• prime

Factor the polynomial 4x² + 20x + 25

• (2x + 5)(2x + 5)²

• (2x + 1)(2x + 25)

• (4x + 1)(x + 25)

• (2x + 5)(2x - 5)

Tags

CCSS.HSA.APR.C.4

What is the first thing to look for when factoring a polynomial?

• Look for a common factor

• Look for a special pattern

• Look to see if you can factor out a negative

• Look for a middle term

Which special pattern is shown here: x² - 8x + 16

• Perfect square trinomial

• Difference of 2 squares

• Prime Factorization

• Common Factor

Tags

CCSS.HSA.APR.C.4

Which special pattern is shown here: x² - 100

• Perfect square trinomial

• Difference of 2 squares

• None of these

• Common Factor

Tags

CCSS.HSA.APR.C.4

Why can't x² - 15x + 25 be factored?

• Because the middle term is negative, but the last term is positive

• Because 25 is a perfect square number, but 15 isn't

• Because there are no factors of 25 that add up to -15

• It can be factored. It equals (x - 5)(x - 5)

Factor the polynomial 6x² + 19x + 15

• (3x + 5)(2x + 3)

• (3x + 3)(2x + 5)

• (2x + 15)(2x + 1)

• (6x + 5)(1x + 3)

Factor the polynomial 2x² + 4x - 30 completely

• 2(x - 3)(x + 5)

• (x - 3)(x + 5)

• 2(x - 5)(x + 3)

• (2x - 10)(x + 3)