Find all zeros of the polynomial P(x)=x^{3}-3x^{2}-10x+24 knowing that x = 2 is a zero of the polynomial.

Kyran Hudson

Kyran Hudson

Answered question

2021-05-18

Find all zeros of the polynomial P(x)=x33x210x+24 knowing that x=2 is a zero of the polynomial.

Answer & Explanation

Talisha

Talisha

Skilled2021-05-20Added 93 answers

Step 1
The given polynomial is P(x)=x33x210x+24 whose one of the factors is x=2
Divide the polynomial by x2.
Step 2
The quotient is x2x12.
Factorize the polynomial x2x12 and find the zeros
x2x12=0
(x4)(x+3)=0
x=4.x=3
Hence, the zeros are x=4.x=3 and x=2.

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