3x squared minus 7x minus 34 is less than or equal to - 10x + 2

x = -2 or 0

Step-by-step explanation:

Factoring 7x2+3x-34

The first term is, 7x2 its coefficient is 7.

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

The last term, "the constant", is - 34

Step-1 : Multiply the coefficient of the first term by the constant 7 • - 34 = - 238

Step-2 : Find two factors of - 238 whose sum equals the coefficient of the middle term, which is 3.

-238 + 1 = - 237

-119 + 2 = - 117

-34 + 7 = - 27

-17 + 14 = - 3

-14 + 17 = 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 14 and 17

7x2 - 14x + 17x - 34

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

7x • (x-2)

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

17 • (x-2)

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

(7x+17) • (x-2)

Which is the desired factorization

(x - 2) • (7x + 17) = 0