Question

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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points and brainliest answer on correct answer explain it ​

Answer 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

Answer 2

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