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

Lennie Carroll

Lennie Carroll

Answered question

2020-11-27

Write P into factored form
P(x)=x3+3x2+4x+12

Answer & Explanation

Gennenzip

Gennenzip

Skilled2020-11-28Added 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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