A prism's volume is given by the expression 6k2 - 13k + 5. The area of the base of the prism is 2k - 1. Which expression represents the height of the prism?

The expression for the height is (3k - 5)

Factorise the equation 6k^2 - 13k + 5

One is given : (2k-1). When factorising, you must make sure that you are obtaining the given equation.

Here, to get 6k^2, 2k is multiplied with 3k. The other factor is (3k-x)

Now, let's find x. From the factors (2k-1) (3k-x) how to obtain 13k? Simple ...

3k*-1 + 2k*x = 13k

-3k + 2kx = 13k

-3k + 2k (-5) = - 3k + - 10k = 13k

So the other expression is (3k-5) which is the height.