Question

how many polynomial will have their zeroes as-2and5​

Answer 1

Answer:

infinite polynomials have zeros -2&5

Step-by-step explanation:

• x^2+7x-10

•k(x^2+7x-10)

for any value of k the polynomial has zeros-2&5

Answer 2

Hey mate here is your answer....

Infinite polynomials have their zeroes as -2 and 5.

Proof:

$sum \: of \: zeroes = \alpha + \beta = - 2 + 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 3 \\ \\ product \: of \: zeroes = \alpha \beta = \: - 2 \times 5 \\ \: \: \: \: \: \: \: = - 10$

Required quadratic formula =

$k( {x}^{2} - ( \alpha + \beta )x \: + \alpha \beta ) \\ k( {x}^{2} - 3x + 10)$

Any quadratic equation in the form of k(x² - 3x+10) have -2 and 5 as zeroes.

HOPE IT HELPS YOU .............^_^