If one
of the zero of the quadratic polynomial x square +3x+ k is 2 , then the value of k is
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24
Answer
k = - 10
Given
one of the zero of the quadratic polynomial x²+3x+k is 2
To Find
Value of k
Key point
A/c to factor theorem ,
If y is zero of polynomial of p(x) , then
p(y) = 0
Solution
Given quadratic polynomial is x² + 3x + k
⇒ p(x) = x² + 3x + k
and 2 is zero of the polynomial .
⇒ p(2) = 0
⇒ (2)² + 3(2) + k = 0
⇒ 4 + 6 + k = 0
⇒ k + 10 = 0
⇒ k = - 10
So , the value of k is - 10 .
Answered by
6
Answer:
Value of k is -10
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