Question

find a quadratic polynomial p(y) with -15 and -7 as sum and one of the zeros respectively .

Answer 1

Answer:

$\alpha + \beta = - 15 \\ \\ \alpha = - 7 \\ \\ - 7 + \beta = - 15 \\ \beta = - 15 + 7 \\ \beta = - 8$

$\alpha = - 7 \\ \beta = - 8$

$\alpha + \beta = \frac{ - b}{a} \\ - 15 = \frac{ - b}{a} \\ \\ a = 1 \: \: \: \: b = 15 \\ \\ \alpha \beta = \frac{c}{a} \\ 56 = \frac{c}{a} \\ c = 56$