Write the linear factorization and list all the zeros of p(x)=x^{4}+x^{3}-8x^{2}-2x+12.

Kaycee Roche

Kaycee Roche

Answered question

2021-05-08

Write the linear factorization and list all the zeros of p(x)=x4+x38x22x+12.

Answer & Explanation

wornoutwomanC

wornoutwomanC

Skilled2021-05-09Added 81 answers

Step 1
p(x)=x4+x38x22x+12
p(x)=x3(x2)+3x2(x2)2x(x2)6(x2)
p(x)=(x2)(x3+3x22x6)
p(x)=(x2)[x2(x+3)2(x+3)]
p(x)=(x2)(x+3)(x22)
p(x)=(x2)(x+3)(x+2)(x2)
Step 2
linear factorization of p(x).
p(x)=(x2)(x+3)(x+2)(x2)
Zeros of p(x):
2,3,2,2.

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