Question

number of polynomial having 3and 7 aszeroes are
​

Answer 1

Answer:

Complete step-by-step answer:

Let p(x)=ax2+bx+c

is the required polynomial whose zeroes are -2 and 5.

∴ Sum of zeroes = −ba

⇒−ba=−2+5=31=−(−3)1

………..(1)

And product of zeroes =ca

⇒ca=−2×5=−101

…………….(2)

From equations (1) and (2)

a = 1, b = -3 and c = -10

∴p(x)=ax2+bx+c=3x2−3x−10

∴p(x)=kx2−3kx−10k

, where k is the real number