Factor completely each polynomial, and indicate any that are not

Sallie Banks

Sallie Banks

Answered question

2021-12-10

Factor completely each polynomial, and indicate any that are not factorable using integers. 12x2+7xy10y2

Answer & Explanation

Becky Harrison

Becky Harrison

Beginner2021-12-11Added 40 answers

Step 1
We have to factor the polynomial:
12x2+7xy10y2
Factorizing the polynomial by middle term splitting method.
Here,
12×(10)=120
=15×(8)
for middle term,
15-8=7
Step 2
Therefore,
12x2+7xy10y2=12x2+15xy8xy10y2
=3x(4x+5y)-2y(4x+5y)
=(4x+5y)(3x-2y)
Hence, factorized form of the polynomial is (4x+5y)(3x-2y).

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