Question

(D) Find K, if (x-1) is a factor of 4xcube +3xsquare -4x+k.

(E) Rationalise the denominator of 1/(root under 7-root under6).​

Answer 1

Step-by-step explanation:

D) x-1 is a factor means 1 is a root of eqn

so

$4 {x}^{3} + 3 {x}^{2} - 4x + k \\ 4 + 3 - 4 + k = 0 \\ k = - 3$

E)

$\frac{1}{ \sqrt{7} - \sqrt{6} } \\ = \sqrt{7} + \sqrt{6}$

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