Question

If the zeri of the polinamial xsquare +(a+1)x+b are 2and-3 find a and b

Answer 1

${x}^{2} + (a + 1)x + b \\ let \: \alpha = 2 \\ let \: \beta = - 3 \\ \alpha + \beta = - a - 1 \\ - 3 + 2 = - a - 1 \\ - 1 = - a - 1 \\ - a = - 2 \\ a = 2 \\ \alpha \beta = b \\ (- 3)(2) =b \\ b = - 6$