Question

Please help me out!!!!!!! 54 points!

Answer 1

Answer:

1. (x+5)(x-1)

6. (3x+4)(x-6)

9. (x+5)(x-5)

Step-by-step explanation:

To factor an equation, break the polynomial into two binomials which multiply to make it. There are three main ways to factor:

Regular: Find two numbers that multiply to C and add to B from $ax^2 + bx + c$.

$x^2+4x-5 = (x+5)(x-1)$

Grouping: Find two numbers that multiply to A*C and add to B. Then split B into the two factors and factor by GCF.

$3x^2-14x-24\\3x^2 - 18x + 4x - 24\\(3x^2-18x)+(4x-24)\\3x(x-6)+4(x-6)\\(3x+4)(x-6)$

Difference of Squares: Factor by taking the square root of each term. $a^2-b^2 = (a-b)(a+b)$

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