# Find the zeroes of the polynomial by factorization method 3x^2+4x-4

Question
Polynomial factorization
Find the zeroes of the polynomial by factorization method
$$\displaystyle{3}{x}^{{2}}+{4}{x}-{4}$$

2021-02-04
Step 1
Given
$$\displaystyle{3}{x}^{{2}}+{4}{x}-{4}$$
Step 2 By factorization
$$\displaystyle{3}{x}^{{2}}+{6}{x}-{2}{x}-{4}$$
3x(x+2)-2(x+2)
(x+2)(3x-2)=0
x+2=0, 3x-2=0
x=-2, 3x=2
$$\displaystyle{x}=\frac{{2}}{{3}}$$
$$\displaystyle\therefore$$ Zeroes are $$\displaystyle\frac{{2}}{{3}}$$ and -2

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