(Simplify the following) Y^2 +5y-50
Answers
Answer:
please mark me as brainliest
Step-by-step explanation:
The first term is, y2 its coefficient is 1 .
The middle term is, -5y its coefficient is -5 .
The last term, "the constant", is -50
Step-1 : Multiply the coefficient of the first term by the constant 1 • -50 = -50
Step-2 : Find two factors of -50 whose sum equals the coefficient of the middle term, which is -5 .
-50 + 1 = -49
-25 + 2 = -23
-10 + 5 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 5
y2 - 10y + 5y - 50
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y-10)
Add up the last 2 terms, pulling out common factors :
5 • (y-10)
Step-5 : Add up the four terms of step 4 :
(y+5) • (y-10)
Which is the desired factorization
Answer:
y²+5y-50
y²+5y-10y-50
y(y+5)-10(y+5)
(y-10)(y+5)