Algebra 1 Review of All Types of Factoring

If a trinomial, $ax^2\pm bx-c$ , has a negative "c" value, what do you know about the signs in its binomial factors?

• Both signs are positive.

• Both signs are negative. 

• One sign is positive and one is negative.

• The signs are the same, both + or both -

Factor completely:

25x² - 81

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Prime

Factor completely:

4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

If a trinomial, ax² - bx + c, has a postive"c" value and a negative "b" value, what do you know about the signs in its binomial factors?

• The signs are both +.

• The signs are one + and one -

• The signs are both -

Factor completely:

k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor completely:

8x³ - 18x

• 2x(4x²-9)

• (4x²+3)(2x-3)

• 2x(2x+3)(2x-3)

• prime

Factor completely:

2x²+22x+60

• (2x+10)(x+6)

• (x+5)(x+6)

• 2(x+1)(x+30)

• 2(x+5)(x+6)

What is the first step when factoring polynomials?

• Find the GCF

• Make a big x

• List all the factors

• Write the answer

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)
• (3x - 4)(x + 3)
• (3x + 3)(x -4)
• (3x - 3)(x + 4)

Factor completely:

3x³-x²+6x-2

• (x²+2)(3x+1)

• (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the aboe