Question

Please solve it....mathematics class 10​

Answer 1

Let p(x) = 4x4 - 20x3 + 23x2 + 5x - 6

Given, 2 and 3 are the zeroes of the polynomial p(x).

So, (x - 2) (x - 3) are factors of the polynomial p(x).

Thus, (x2 - 5x + 6) is a factor of the polynomial p(x).

by long division

4x4 - 20x3 + 23x2 + 5x - 6 = (x2 - 5x + 6) (4x2 - 1)

(x - 2) (x - 3) (2x - 1) (2x + 1)

1/2,-1/2, 3, are the zeroes of p(x)