Question

If p and q are the zeroes of a polynomial x² + 7x+8 then form a polynomial whose zeroes 2p and 2q.​

Answer 1

hope this may helpful good morning

Answer 2

Given :  p and q are the zeroes of a polynomial x² + 7x+8  

To Find :  form a polynomial whose zeroes 2p and 2q.​

Solution:

 p and q are the zeroes of a polynomial x² + 7x+8  

p + q  = Sum of zeroes = - 7/1 = - 7

pq = product of zeroes  = 8/1 = 8

a polynomial whose zeroes 2p and 2q.​

Sum of zeroes = 2p + 2q  = 2(p + q)  = 2 ( - 7)  = - 14

product of zeroes = 2p * 2q =  4pq  = 4( 8)  = 32

Hence a polynomial can be

x² -(- 14)x  + 32

= x² + 14x +  32  a polynomial whose zeroes 2p and 2q.​

Learn More:

Find a quadratic polynomial whose zeroes are 1/2 , 4 - Brainly.in

brainly.in/question/16158030

Find the quadratic polynomial whose zeroes are log 1000, log0.01*0.1

brainly.in/question/18047168