Question

find the polynomial of zeroes are -3 and 5​

Answer 1

Answer:

x² + 2x - 15

Step-by-step explanation:

let's take one zero as x-3 and the other as x+5

(x-3) (x+5) = 0

x² + 5x - 3x - 15 = 0

x² + 2x - 15 = 0

Therefore the polynomial is x²+2x-15.

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Answer 2

Zeroes of the polynomial are -3 and 5

$\alpha = - 3 \: and \: \beta = 5$

p(x) =

${x}^{2} + ( \alpha + \beta )x + \alpha \times \beta$

$= {x}^{2} + ( - 3 + 5)x + ( - 3) \times 5$

The polynomial is :-

$= {x}^{2} + 2x - 15$