Find all rational zeros of the polynomial, and write the polynomial in factored form. P(x)=6x^{4}-7x^{3}-12x^{2}+3x+2

Khadija Wells 2021-03-20 Answered
Find all rational zeros of the polynomial, and write the polynomial in factored form.
P(x)=6x47x312x2+3x+2
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Expert Answer

davonliefI
Answered 2021-03-22 Author has 79 answers
Given
P(x)=6x47x312x2+3x+2
Answer
P(x)=6x47x312x2+3x+2
use long division to find zeros of p(x)
from the long division, we get
x=-1, x=2 and 6x2x1=0
x=(1)±(1)24(6)(1)2(6)
=1±1+2412
=1±2512
=1±512
x=612 and x=412
x=12 and x=13
Therefore the zeros of p(x) is x =-1, 13,12 and 2
Factor of p(x),
p(x)=(x+1)(x+13)(x12)(x2)
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