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

Fenian41 2021-12-05 Answered
Write P into factored form
P(x)=x3+3x2+4x+12
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Expert Answer

Witionsion
Answered 2021-12-06 Author has 19 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
Answer : P(x) in factored form is P(x)=(x+3)(x2+4)
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