Factorize - 8y^2 + 17y + 27
Answers
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