Question

Factor the given expressions.
I would like to know how to do this one.
x^2 - 7x + 12

Answer 1

x^2-7x+12


x^2-3x-4x+12


(x^2-3x)+(-4x+12)


x(x-3)+(-4x+12)


x(x-3)-4(x-3)


(x-4)(x-3)

Answer 2

Note: you need to find two numbers that multiply to 12 and add to -7. These two numbers are -3 and -4

Answer 3

So you break -7x into -3x-4x and you factor by grouping