CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let g(x)=x4−6x3+5x2+24x−36g(x)=x^{4}-6x^{3}+5x^{2}+24x-36. (i) Verify that x=2x=2 and x=3x=3 are zeros of g(x)g(x). (ii) Factorise g(x)g(x) completely. (iii) Determine the remaining zeros and write the product of all the zeros.

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