Find the value of p from the polynomial x^{2}+3x+p if one of the zeroes of the polynomial is 2

tinfoQ

tinfoQ

Answered question

2021-06-04

Find the value of p from the polynomial x2+3x+p if one of the zeroes of the polynomial is 2

Answer & Explanation

Gennenzip

Gennenzip

Skilled2021-06-05Added 96 answers

Step 1
Given
x2+3x+p...(1)
Step 2
Finding the value of p
One of the zeroes of the polynomial is 2
W.K.T
if α is a zero of the polynomial p(x), then p(α)=0
Substituting
x=2 in (1)
x2+3x+p
22+3(2)+p=0
4+6+p=0
p=10
p=10

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