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

Ayaana Buck

Ayaana Buck

Answered question

2021-03-03

Find all rational zeros of the polynomial, and write the polynomial in factored form.
P(x)=2x3+7x2+4x4

Answer & Explanation

Alara Mccarthy

Alara Mccarthy

Skilled2021-03-05Added 85 answers

Step 1
we have to find all the rational zeros of the polynomial and write the polynomial in factored form.
P(x)=2x3+7x2+4x4
Step 2
2x3+7x2+4x4
(2x1)(x2+4x+4)
(2x1)(x+2)2(2x1)(x+2)(x+2)
therefore
2x3+7x2+4x4=(2x1)(x+2)(x+2)
now as we have to find the rational roots
therefore
(2x1)(x+2)(x+2)=0
x=2,x=2,x=12

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