The graph of a quadratic polynomial passes through and and also passes through the point

MATHEMATICS · Single correct · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

The graph of a quadratic polynomial passes through (−1,0)(-1,0) and (4,0)(4,0) and also passes through the point (0,−8)(0,-8). Which of the following is that polynomial? (a) 2x2−10x+82x^{2}-10x+8 (b) 2x2−6x−82x^{2}-6x-8 (c) x2−3x−4x^{2}-3x-4 (d) −2x2+6x+8-2x^{2}+6x+8

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