A polynomial of least degree has zeros

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

A polynomial of least degree has zeros 22, −1-1 and 44. If its value at x=0x=0 is 4040, which of the following is that polynomial? (a) 5x3−25x2−10x+405x^{3}-25x^{2}-10x+40 (b) x3−5x2+2x+48x^{3}-5x^{2}+2x+48 (c) 5x3−25x2+10x+405x^{3}-25x^{2}+10x+40 (d) −5x3−15x2+30x+40-5x^{3}-15x^{2}+30x+40

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