What are the factors of 6x2+37x-60?
3x-4 and 2x+15
3x+4 and 2x-15
2(x-2) and 3(x+5)
2(x+2) and 3(x-5)

The factors of the polynomial are 3x-4 and 2x+15

Factoring A Quadratic Equation means finding a factor of an equation that if multiplied produces a quadratic equation

We can solve the quadratic equation with the formula or we can do it by finding the common factor as below

From the 6x² + 37x-60 equation, we can determine a, b and c from the general quadratic equation namely ax² + bx + c:

a = 6, b = 37, c = -60

First, find two numbers that multiply to give a x c and add/substract to give b.

From the equation above:

a x c = -360, and b = 37

we look for a factor of 360 which when added / subtracted together gets the number 37

The factor of 360 is 1,2,3,4,5,6,8,9,10,12,18,20,30,36,40,45,60,72,90,120,180,360

From these factors which can be added / reduced to 37 are 8 and 45

So the form of the equation becomes:

6x² - 8x + 45x -60

(6x² -8x) + (45x -60)

2x(3x -4) + 15(3x-4)

(3x-4) -> common to both terms

We use the principle of distributive property of addition

ax (b + c) = axb + axc -> a = 3x-4

so the factors: (2x + 15) (3x-4)

Highest common factor

The GCF of any two even numbers

The answer is 3x-4 and 2x+15

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.