Write P into factored form P(x) = x^3+3x^2+4x+12

Lennie Carroll 2020-11-27 Answered
Write P into factored form
P(x)=x3+3x2+4x+12
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Expert Answer

Gennenzip
Answered 2020-11-28 Author has 96 answers
Step 1
Definition used -
Factorization -
For writing cubic polynomial, We can try to find the greatest common factors from the first two terms and the last two terms. Now if we will get common factor from these terms, we will find and write the polynomial in factored form.
Step 2
Given -
P(x)=x3+3x2+4x+12
=x2(x+3)+4(x+3)
=(x+3)(x2+4)
Step 3
Result:P(x) in factored form is P(x)=(x+3)(x2+4)
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