35×2-100x-15

Factor 5 out of 35×2.

5(7×2)-100x-15

Factor 5 out of -100x.

5(7×2)+5(-20x)-15

Factor 5 out of -15.

5(7×2)+5(-20x)+5(-3)

Factor 5 out of 5(7×2)+5(-20x).

5(7×2-20x)+5(-3)

Factor 5 out of 5(7×2-20x)+5(-3).

5(7×2-20x-3)

5(7×2-20x-3)

Factor by grouping.

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=7⋅-3=-21 and whose sum is b=-20.

Factor -20 out of -20x.

5(7×2-20(x)-3)

Rewrite -20 as 1 plus -21

5(7×2+(1-21)x-3)

Apply the distributive property.

5(7×2+1x-21x-3)

Multiply x by 1.

5(7×2+x-21x-3)

5(7×2+x-21x-3)

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

5((7×2+x)-21x-3)

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

5(x(7x+1)-3(7x+1))

5(x(7x+1)-3(7x+1))

Factor the polynomial by factoring out the greatest common factor, 7x+1.

5((7x+1)(x-3))

5((7x+1)(x-3))

Remove unnecessary parentheses.

5(7x+1)(x-3)

5(7x+1)(x-3)

Factor 35x^2-100x-15