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

Question
Polynomial factorization
Find the roots of the given quadratic equation by factorization method
$$\displaystyle{x}^{{2}}-{3}{x}-{10}={0}$$

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

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