Question

if graph of a quadratic polynomial cuts the x axis at the points (-2,0) and. (3,0)find the polynomial ​

Answer 1

If the graph cuts x-axis at points (-2,0) and (3,0) then, (-2) and 3 are the zeroes of the polynomial

$\alpha = - 2 \\ \beta = 3 \\ \\ \alpha + \beta = - 2 + 3 = 1 \\ \alpha \beta = - 2 \times 3 = - 6 \\ \\ from \: the \: general \: form \: of \: quadratic \: polynomial \\ \\ x {}^{2} - ( \alpha + \beta )x + \alpha \beta \\ x {}^{2} - 1x + ( - 6) \\ x {}^{2} - x - 6$

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