Question

(Simplify the following) Y^2 +5y-50

Answer 1

Answer:

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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 2

Answer:

y²+5y-50

y²+5y-10y-50

y(y+5)-10(y+5)

(y-10)(y+5)