A QUADRATIC POLYNOMIAL WHOSE ZEROES ARE 3 AND -2 IS
Answers
Answered by
1
Answer:
zeroes are 3 and -2
polynomial is
x^2 -x-6
Answered by
2
Answer:
The required quadratic polynomial is x² - x - 6.
Step-by-step-explanation:
Let a and b be the zeroes of the quadratic polynomial.
a = 3
b = - 2
We have to find the quadratic polynomial.
We know that,
A quadratic polynomial is in the form of
x² - ( Sum of zeroes ) x + Product of zeroes
⇒ x² - ( a + b ) x + ( ab )
⇒ x² - [ 3 + ( - 2 ) ] x + 3 * ( - 2 )
⇒ x² - ( 3 - 2 ) x - 6
⇒ x² - x - 6
∴ The required quadratic polynomial is x² - x - 6.
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