Write a quadratic polynomial, sum of whose zeroes is 2 and product is -8. explain
Answers
Answer :
x² - 2x - 8
Step-by-step explanation :
Sum of zeroes = 2
Product of zeroes = -8
The quadratic polynomial will be in the form of
⇒ x² - (sum of zeroes)x + (product of zeroes)
⇒ x² - 2x - 8
Given : Quadratic polynomial, sum of whose zeroes is 2 and product is -8.
To Find : a quadratic polynomial,
Solution:
a quadratic polynomial can be written as
x² - (sum of zeroes)x + product of zeroes
sum of zeroes = 2
Product of Zeroes = - 8
Substituting the values:
x² - 2x + (-8)
= x² - 2x - 8
One of the required Quadratic polynomial is x² - 2x - 8 , sum of whose zeroes is 2 and product is -8
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