Consider the quadratic polynomial and the numbers

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

Consider the quadratic polynomial p(x)=2x2−5x−3p(x)=2x^{2}-5x-3 and the numbers −1,  12  and  3-1,\;\dfrac{1}{2}\;\text{and}\;3. (i) Verify which of the given numbers are zeros of p(x)p(x). (ii) Hence write down all the zeros of p(x)p(x) and state their product. (iii) Using your result, express p(x)p(x) in its factorised form.

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