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Find the value of k for which x - 2 is a factor of kx² - 5x + 2.

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Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

Find the value of $k$ for which $x - 2$ is a factor of $kx^2 - 5x + 2$ .

Need a reminder? The key ideaShow

Remainder theorem: dividing $p(x)$ by $x - a$ leaves the remainder $p(a)$ . For $ax - b$ , use $p\left(\dfrac{b}{a}\right)$ . Factor theorem: $x - a$ is a factor exactly when $p(a) = 0$ .

The worked solution

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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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Find the value of k for which x - 2 is a factor of kx² - 5x + 2.

The worked solution

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