Question

If sum of the zeroes is-1 and their product is 7find their quadratic polynomial

Answer 1

HeYa❤️...

Given:

$sum \: of \: zeroes = \alpha + \beta = - 1 \\ product \: of \: zeroes = \alpha \beta = 7$

Solution:

$quadratic \: polynomial \: \\ = ( \alpha + \beta )x \: + ( \alpha \beta )x {}^{2} + c \\ = ( - 1)x + (7)x {}^{2} + c \\ = - 1x + 7x {}^{2} + c$

hence, Quadratic Polynomial is -1x + 7x^2 + c.

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