FInd the zeroes of the polynomials p(x)=x^2+5x+6

Question
Polynomial arithmetic
asked 2020-11-05
FInd the zeroes of the polynomials
\(\displaystyle{p}{\left({x}\right)}={x}^{{2}}+{5}{x}+{6}\)

Answers (1)

2020-11-06
Step 1
Given:
\(\displaystyle{p}{\left({x}\right)}={x}^{{2}}+{5}{x}+{6}\)
WKT
Step 2
WKT
To find the zeroes \(\displaystyle{p}{\left({x}\right)}={0}\)
\(\displaystyle{x}^{{{2}}}+{5}{x}+{6}={0}\)
\(\displaystyle{x}{\left({x}+{3}\right)}+{2}{\left({x}+{3}\right)}={0}\)
\(\displaystyle{\left({x}+{3}\right)}{\left({x}+{2}\right)}={0}\)
\(\displaystyle{x}=-{3},\ {x}=-{2}\)
The zeroes of \(\displaystyle{p}{\left({x}\right)}\) are -3 and -2
0

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