Question

Saath
( operatorname{sel} 2 x^{3}-k x+frac{17}{5} k )
( 2+5 x int 25 x^{4}+10 x^{3}-5 k x^{2}+15 k x-1 )
( 25 x^{4}+10 x^{3} )
[
begin{array}{l}
-5 k x^{2}+15 k x-1
-5 k x^{2}-2 k x
end{array}
]
( frac{+}{17 k x-1} )
( 71

# Find the value of k such that g(x) a factor of p(x): p(x) = 25x4 + 10x – 5kx² + 15kx - 1, g(x) = 2 + 5x

Solution