The trinomial represents a certain algebraic expression in variable

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

The trinomial 2x2+11x+122x^{2}+11x+12 represents a certain algebraic expression in variable xx. Let its zeros be α\alpha and β\beta. (i) Determine α+β\alpha+\beta and αβ\alpha\beta. (ii) Using the results of part (i), find the numerical value of the expression α+β+αβ\alpha+\beta+\alpha\beta. (iii) Form the quadratic polynomial whose zeros are (α−1)(\alpha-1) and (β−1)(\beta-1), writing your answer in the standard form kx2+mx+nkx^{2}+mx+n with integer coefficients.

Related theory

Browse the problem library