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if the product of zeroes of the polynomial x 2 9x
Question:
If the product of zeroes of the polynomial \( x^2 - 9x + a \) is 8, then the value of \( a \) is
Show Hint
For any quadratic polynomial \( ax^2 + bx + c \), the product of the zeroes is given by \( \frac{c}{a} \).
Bihar Board X - 2024
Bihar Board X
Updated On:
Oct 27, 2025
9
-9
8
-8
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The Correct Option is
C
Solution and Explanation
Step 1:
For the quadratic polynomial \( x^2 - 9x + a \), the product of the zeroes is given by \( a \).
Step 2:
We are given that the product of the zeroes is 8, so: \[ a = 8 \] Thus, the correct answer is \( a = 8 \).
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