Factor the polynomial. 121r^{3}s^{4} + 77r^{2}s^{4} - 55r^{4}s^{3}

Ben Shaver

Ben Shaver

Answered question

2021-12-20

Factor the polynomial. 121r3s4+77r2s455r4s3

Answer & Explanation

sonSnubsreose6v

sonSnubsreose6v

Beginner2021-12-21Added 21 answers

Step 1
Given polynomial is 121r3s4+77r2s455r4s3
To factor the given polynomial.
Solution:
Factorizing the given polynomial.
121r3s4+77r2s455r4s3=1111r3s4+117r2s4115r4s3
=11r2s3(11rs+7s5r2)
Therefore, 121r3s4+77r2s455r4s3=11r2s3(11rs+7s5r2).
Step 2
Hence, 121r3s4+77r2s455r4s3=11r2s3(11rs+7s5r2).
William Appel

William Appel

Beginner2021-12-22Added 44 answers

As the co-efficient of the given polynomial are integers, therefore factoring out
The gcf 11r2s3, we can write,
121r3s4+77r2s455r4s3=11r2s3(11rs+7s5r2)
Hence, the required factor is 11r2s3(11rs+7s5r2)

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