Question

factor.

1. $125x^{2}-50x + 5$
2. $24x^{2}-6x - 9$
3. $x^{5}+2x^{4}+x^{3}$

Explanation:

Problem 4: $125x^2 - 50x + 5$

Step1: Factor out GCF (5)

$5(25x^2 - 10x + 1)$

Step2: Recognize perfect square trinomial

$25x^2 -10x +1=(5x-1)^2$

Problem 5: $24x^2 - 6x - 9$

Step1: Factor out GCF (3)

$3(8x^2 - 2x - 3)$

Step2: Factor the quadratic

$8x^2-2x-3=(4x-3)(2x+1)$

Problem 6: $x^5 + 2x^4 + x^3$

Step1: Factor out GCF ($x^3$)

$x^3(x^2 + 2x + 1)$

Step2: Recognize perfect square trinomial

$x^2+2x+1=(x+1)^2$

Answer:

1. $5(5x-1)^2$
2. $3(4x-3)(2x+1)$
3. $x^3(x+1)^2$