Answer: x2 + 3x – 10= (x+5)⋅(x−2)= -6
so x=-6
Step-by-step explanation: "x2" was replaced by "x^2".
Factoring x2+3x-10
The first term is, x2 its coefficient is 1 .
The middle term is, +3x its coefficient is 3 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 1 • -10 = -10
Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is 3 .
-10 + 1 = -9
-5 + 2 = -3
-2 + 5 = 3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 5
x2 - 2x + 5x - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-2)
Add up the last 2 terms, pulling out common factors :
5 • (x-2)
Step-5 : Add up the four terms of step 4 :
(x+5) • (x-2)
Which is the desired factorization
so (x + 5) • (x - 2)= x=-6