Question

The factorized form of x^2 + x/15 - 2/15 is

Answer 1

Answer:

2x2−x−152x2-x-15

For a polynomial of the form ax2+bx+cax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅−15=−30a⋅c=2⋅-15=-30 and whose sum is b=−1b=-1.

2x2+5x−6x−15

x(2x+5)−3(2x+5)x(2x+5)-3(2x+5)

Factor the polynomial by factoring out the greatest common factor, 2x+52x+5.

(2x+5)(x−3)(2x+5)(x-3)