Question

Factor 2x^2+7x-49 ( sorry that its 10 points i dont have many :/ )

Answer 1

For a polynomial of the form ax^2+bx+c rewrite the middle term as a sum of two terms whose product is a*c=2*(−49)=−98 and whose sum is b=7.

2x^2+(−7+14)x−49

= 2x^2+(−7x+14x)−49

= 2x^2−7x+14x−49

Group the first two terms and the last two terms.

= (2x^2−7x)+(14x−49)

Factor out the greatest common factor (GCF) from each group.

= x(2x−7)+7(2x−7)

Factor the polynomial by factoring out the greatest common factor, 2x−7.

= (2x−7)(x+7)

Hope this helps !

Answer 2

$2x^2+7x-49=2x^2+14x-7x-49\\\\=2x(x+7)-7(x+7)\\\\=\boxed{(x+7)(2x-7)}$