Question

15y2+16y−15= need answer with steps ​

Answer 1

STEP

1

:

Equation at the end of step 1

((3•5y2) - 16y) - 15

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 15y2-16y-15

The first term is, 15y2 its coefficient is 15 .

The middle term is, -16y its coefficient is -16 .

The last term, "the constant", is -15

Step-1 : Multiply the coefficient of the first term by the constant 15 • -15 = -225

Step-2 : Find two factors of -225 whose sum equals the coefficient of the middle term, which is -16 .

-225 + 1 = -224

-75 + 3 = -72

-45 + 5 = -40

-25 + 9 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -25 and 9

15y2 - 25y + 9y - 15

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

5y • (3y-5)

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

3 • (3y-5)

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

(5y+3) • (3y-5)

Which is the desired factorization

Final result :

(3y - 5) • (5y + 3)

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