Find the roots of the given quadratic equation by factorization method x^2-3x-10=0

Question
Polynomial factorization
asked 2020-12-28
Find the roots of the given quadratic equation by factorization method
\(\displaystyle{x}^{{2}}-{3}{x}-{10}={0}\)

Answers (1)

2020-12-29
Step 1
Given
\(\displaystyle{x}^{{2}}-{3}{x}-{10}={0}\)
Step 2 Finding the roots
\(\displaystyle{x}^{{2}}-{5}{x}+{2}{x}-{10}\)
x(x-5)+2(x-5)=0
(x-5)(x+2)=0
x-5=0, x+2=0
x=5, x=-2
x=5, -2
\(\displaystyle\therefore\) Roots are 5, -2
0

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