Factor each polynomial. 10(2a-1)^{2}-19(2a-1)-15

untchick04tm

untchick04tm

Answered question

2021-12-13

Factor each polynomial.
10(2a1)219(2a1)15

Answer & Explanation

deginasiba

deginasiba

Beginner2021-12-14Added 31 answers

Step 1
We have to factorize the polynomial:
10(2a1)219(2a1)15
Assuming,
t=2a-1
Then polynomial would be,
10(2a1)219(2a1)15=10t219t15
Step 2
Factorizing the polynomial by middle term splitting method,
10t219t15=10t225t+6t15
=5t(2t-5)+3(2t-5)
=(2t-5)(5t+3)
Putting back the value of t, we get
(2t-5)(5t+3)=(2(2a-1)-5)(5(2a-1)+3)
=(4a-2-5)(10a-5+3)
=(4a-7)(10a-2)
Hence, factorized form of the expression is (4a-7)(10a-2).

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