Mathematics

Mathematics

Problem

Consider the quadratic polynomial 2x2−11x+122x^2-11x+12. a. (i) Verify that x=4x=4 and x=32x=\frac{3}{2} are zeros of the polynomial. b. (ii) Hence express 2x2−11x+122x^2-11x+12 as a product of its linear factors. c. (iii) Explain how your verification in part (i) justifies the factorisation obtained in part (ii).

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