Question

find a quadratic polynomial whose sum of zeros is 5 and product is -18​

Answer 1

1×1=1

1×2=2

1×3=3

1×4=4

1×5=5

Answer 2

Answer:

$x {}^{2} + 5x - 18$

Step-by-step explanation:

let zeroes be

$\alpha$

and

$\beta$

then sum of zeroes will be

$\alpha + \beta = 5$

product of the zeroes will be

$\alpha \beta = - 18$

Required quadratic equation will be

$x { }^{2} + ( \alpha + \beta )x + \alpha \beta \\ = x {}^{2} + 5x - 18.$

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