find a quadratic polynomial each with the given number as the sum and product of its zeroes respectively.
(1)1/4,-1
(2)underroot 2,1/3
Answers
Answered by
2
Step-by-step explanation:
(i) sum alpha + beta = 1/4
product alpha . beta = -1
Quadratic Polynomial
K[x^ - (alpha + beta)x + alpha beta]
K[x^ - (1/4)x + (-1)]
K[x^ - x/4 - 1]
If K = 4
4[x^ - x/4 - 1]
4x^ - x -4]
(ii) sum alpha and beta = √2
product alpha . beta = 1/3
Quadratic polynomial
K[x^ -(alpha + beta)x + alpha. beta]
K[x^ -(√2)x + 1/3]
K[x^ -√2x + 1/3]
If K=3
3[x^ -√2x + 1/3]
3x^ - 3√2 + 1
Hope this may help you
PLESAE MARK AS BRILLANT
Similar questions