Find all zeros of the polynomial. P(x)=x^{3}+7x^{2}+18x+18

prsategazd

prsategazd

Answered question

2021-12-13

Find all zeros of the polynomial.
P(x)=x3+7x2+18x+18

Answer & Explanation

temnimam2

temnimam2

Beginner2021-12-14Added 36 answers

Step 1
Given polynomial
P(x)=x3+7x2+18x+18
Step 2
Zeros of the polynomial
x3+7x2+18x+18=0
x3+3x2+4x2+12x+6x+18=0
x2(x+3)+4x(x+3)+6(x+3)=0
(x+3)(x2+4x+6)=0
x=-3 and x2+4x+6=0
Now,
x2+4x+6=0
x=4±424×1×62
x=4±82
x=4±222
x=2±2
x=2±2i
Hence,
zeros are
x=-3
x=2+2i
x=22i

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