fator the trinomial 2x^2+5x-3, 3x^2-2x-5, 6x^2-17x+12

Question

Pick any three problems and factor the trinomial. If the trinomial is prime, state this and explain why.

Answer 1

1) Given trinomial is 2x^2+5x-3

2x^2+6x-x-3

2x(x+3)-1(x+3)

Factoring of given trinomial is (x+3)(2x-1)

2) Given trinomial is 3x^2-2x-5

3x^2-5x+3x-5

x(3x-5)+1(3x-5)

Factoring of given trinomial is (3x-5)(x+1)

3) Given trinomial is 6x^2-17x+12

6x^2-9x-8x+12

3x(2x-3)-4(2x-3)

Factoring of given trinomial is (2x-3)(3x-4)