Question

Q: 20 Find a quadratic polynomial whose zeroes are 3 and 5.​

Answer 1

Answer:

Sum of zeroes = 3 + 5 = 8

Product of zeroes = 3 × 5 = 15

Polynomial = x^2 - (sum)x + product

Polynomial = x^2 - 8x + 15

Answer 2

• Sum of zeros $(\alpha\:+\:\beta)$

• Product of zeros $(\alpha\beta)$

Let $\alpha$ = 3 and $\beta$ = 5

$\alpha\:+\:\beta$ = 3 + 5 = 8

$\alpha\beta$ = 3 × 5 = 15

____________________________

We know that

x² - (Sum of zeros)x + Product of zeros.

OR

x² - ($\alpha\:+\:\beta$)x + $\alpha\beta$

$\implies$ x² - 8x + 15

_______________ [ANSWER]