Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: 24a^{4}+10a^{3}b-4a^{2}b^{2}

rocedwrp

rocedwrp

Answered question

2021-02-21

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
24a4+10a3b4a2b2

Answer & Explanation

okomgcae

okomgcae

Skilled2021-02-23Added 93 answers

Step 1
Consider the polynomial: 24a4+10a3b4a2b2
Factorize-
24a4+10a3b4a2b2=2a212a2+2a25ab2a22b2
=2a2(12a2+5ab2b2)
Step 2
Further factorize by splitting the middle term.
2a2(12a2+5ab2b2)=2a2(12a23ab+8ab2b2)
=2a2(3a(4ab)+2b(4ab))
=2a2(4ab)(3a+2b)
Therefore, 24a4+10a3b4a2b2=2a2(4ab)(3a+2b)

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