simplify: (x^2+7x+10)÷(x+5)
Answers
Answer:
in explanation
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -7x its coefficient is -7 .
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 -7 .
-10 + -1 = -11
-5 + -2 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and -2
x2 - 5x - 2x - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-5)
Add up the last 2 terms, pulling out common factors :
2 • (x-5)
Step-5 : Add up the four terms of step 4 :
(x-2) • (x-5)
Which is the desired factorization
Factoring x2 - 7x + 10
The first term is, x2 its coefficient is 1 .
The middle term is, -7x its coefficient is -7 .
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 -7 .
-10 + -1 = -11
-5 + -2 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and -2
x2 - 5x - 2x - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-5)
Add up the last 2 terms, pulling out common factors :
2 • (x-5)
Step-5 : Add up the four terms of step 4 :
(x-2) • (x-5)
Which is the desired factorization