The sum and product of zeroes of the polynomial are -2 & 3 respectively. The polynomial is : (a) x2 - 2x + 3 (b) x2 + 2x + 3 (c) x2 - 2x - 3 (d) x² + 2x - 3
Answers
Given : the sum and product of zeroes of the polynomials are -2 and 3 respectively
To Find: the polynomial
Solution:
Polynomial = k ( x² - (sum of zeroes) x + Product of zeroes)
k is non zero real number
sum of zeroes = -2
Product of zeroes = 3
Polynomial = k (x² - (-2)x + 3)
= k(x² + 2x + 3)
Using k = 1
x² + 2x + 3
Hence from the given options
x² + 2x + 3 is one polynomial having sum and product of zeroes -2 and 3 respectively
correct option is b) x² + 2x + 3
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Answer:
Given : the sum and product of zeroes of the polynomials are -2 and 3 respectively
To Find: the polynomial
Solution:
Polynomial = k ( x² - (sum of zeroes) x + Product of zeroes)
k is non zero real number
sum of zeroes = -2
Product of zeroes = 3
Polynomial = k (x² - (-2)x + 3)
= k(x² + 2x + 3)
Using k = 1
x² + 2x + 3
Hence from the given options
x² + 2x + 3 is one polynomial having sum and product of zeroes -2 and 3 respectively
correct option is b) x² + 2x + 3
Learn More:
Find a quadratic polynomial whose zeroes are 1/2 , 4 - Brainly.in
brainly.in/question/16158030
If alpha and 1/alpha are zeroes of polynomial kx²-2x+k²+k . Find ...
brainly.in/question/7868632
33.If two zeroes of polynomial P(x) = 2x4 + 10x3 + 5x2 – 35x – 42 arebrainly.in/question/14933868