Verify if ½ and -3/2 are zeroes of the polynomial 8x3 -4x2 -18x+9. If yes, then factorise the polynomial.
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Answered by
1
Answer:
Let p (x) = 2x2 + kx
It is given that, (x + 1) is a factor of (2x2 + kx)
Thus, x = -1 is a factor of (2x2 + kx)
∴ p (-1) = 0
2 (-1)2 + k (-1) = 0
2 – k = 0
k = 2
Thus, the value of k = 2
Answered by
3
Answer:
Let p (x) = 2x2 + kx
It is given that, (x + 1) is a factor of (2x2 + kx)
Thus, x = -1 is a factor of (2x2 + kx)
∴ p (-1) = 0
2 (-1)2 + k (-1) = 0
2 – k = 0
k = 2
Thus, the value of k = 2
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