Question

Factorize - 8y^2 + 17y + 27​

Answer 1

Answer:

PLEASE MARK THIS THE BRAINLIEST ANSWER

Step-by-step explanation:

8y2-17y+9

Final result :

(8y - 9) • (y - 1)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(23y2 - 17y) + 9

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 8y2-17y+9

The first term is, 8y2 its coefficient is 8 .

The middle term is, -17y its coefficient is -17 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 8 • 9 = 72

Step-2 : Find two factors of 72 whose sum equals the coefficient of the middle term, which is -17 .

-72 + -1 = -73

-36 + -2 = -38

-24 + -3 = -27

-18 + -4 = -22

-12 + -6 = -18

-9 + -8 = -17 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -8

8y2 - 9y - 8y - 9

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

y • (8y-9)

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

1 • (8y-9)

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

(y-1) • (8y-9)

Which is the desired factorization