Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: 10x^{2}-160

Caelan

Caelan

Answered question

2021-06-07

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
10x2160

Answer & Explanation

tabuordy

tabuordy

Skilled2021-06-08Added 90 answers

Step 1
We have to factorize the polynomial:
10x2160
Taking 10 common from the polynomial, we get
10x2160=10(x216)
=10(x242)
Step 2
We know the algebraic identity,
a2b2=(ab)(a+b)
Applying above identity for x242, we get
10(x242)=10(x4)(x+4)
Hence, factorize form of polynomial is 10(x4)(x+4).

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