Find out the roots of the quadratic equation $x^{2} + 3 x - 4 = 0$ with the help of a graph. Comment on the nature of the graph. Also verify whether the roots of this equation and the zeros of the corresponding quadratic polynomial $x^{2}$ + 3x - 4 = 0 are same.

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Solution

$x^{2} + 4 x - x - 4 = 0 x (x + 4) - 1 (x + 4) = 0 (x + 4) (x - 1) = 0$
Roots are -4 and 1.

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