Factor 2x2−x−10.Rewrite the trinomial with the x -term expanded, using the two factors. Then, group the first two and last two terms together and find the GCF of each

Question

Factor 2x^2−x−10.Rewrite the Trinomial with the x -term expanded, using the two factors. Then, group the first two and last two terms together and find the GCF of each.

Trinomial: (2x^2−____)+(4x−10)

GCF: ____(2x−5)+____(2x−5)

Answer 1

Factor: 2x²-x-10

x=5/2, -2

Trinomial: (x-5/2)(x+2)=0 => (2x-5)(x+2) =2x²+4x-5x-10 = (2x²-5x)+(4x-10)

GCF: Factor out (2x-5)

x(2x-5)+2(2x-5)

Answer 2