Which of the binomials below is a factor of this trinomial?
6x^2- 5x - 25

see explanation

Step-by-step explanation:

Given

6x² - 5x - 25

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

The factors are + 10 and - 15

Use these factors to split the x- term

6x² + 10x - 15x - 25 ( factor the first/second and third/fourth terms )

= 2x(3x + 5) - 5(3x + 5) ← factor out (3x + 5)

= (3x + 5)(2x - 5)

The factors are (3x + 5) and (2x - 5)

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: