Question

if a and b are zeroes of x2-x-2 find a polynomial whose zeroes are (2a+1) and (2B +1)​

Answer 1

Answer:

Step-by-step explanation:

• let alpha = 2a+1 and beta =2b+1

• alpha + beta = 2a + 1 + 2b + 1 =2a+2b+2

• alpha * beta = (2a +1) * (2b + 1) = 4ab +2a +2b +1

• x2 - (alpha+beta)x + alpha * beta

• x2 -2a -2b -2 + 4ab + 2a +2b + 1
• ⇒polynomial = x2 -2ax -2bx -2x +4ab +2a +2b + 1

Answer 2

the answer is x2-2a-2b-2+4ab+2a+2b+1