X²+3x-70=0

(x-10) = 0 (x+7) = 0

X-10=0 x+7=0

+10 + 10 - 7 - 7

x=10 x=-7

The first term is, x2 its coefficient is 1.

The middle term is, - 3x its coefficient is - 3.

The last term, "the constant", is - 70

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 70 = - 70

Step-2 : Find two factors of - 70 whose sum equals the coefficient of the middle term, which is - 3.

-70 + 1 = - 69 - 35 + 2 = - 33 - 14 + 5 = - 9 - 10 + 7 = - 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 10 and 7

x2 - 10x + 7x - 70

Step-4 : Add up the first 2 terms, pulling out like factors:

x • (x-10)

Add up the last 2 terms, pulling out common factors:

7 • (x-10)

Step-5 : Add up the four terms of step 4:

(x+7) • (x-10)