Question

the quadratic polynomial p(y) with -15 and -7 as the sum and one of the zeroes respectively is:

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

$\alpha + \beta = - 15 \\ \\ \alpha = - 7 \\ \\ - 7 + \beta = - 15 \\ \beta = - 15 + 7 \\ \beta = - 8 \alpha = - 7 \\ \beta = - 8 \alpha + \beta = \frac{ - b}{a} \\ - 15 = \frac{ - b}{a} \\ \\ a = 1 \: \: \: \: b = 15 \\ \\ \alpha \beta = \frac{c}{a} \\ 56 = \frac{c}{a} \\ c = 56$or

$\alpha =-15+-7=-22\\\alpha =-22$

$\alpha +\beta =0\\-22+\beta =0\\\beta =22$