Two mark exercise problems IV — task. Mathematics State Board, Class 9.

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1. Using factor theorem, show that

$(x - 5)$ is a factor of the polynomial

$2x^3 - 5x^2 - 28x + 15$ .

Answer:

$p(5) =$

Therefore,

$(x - 5$ ) is of the polynomial

$2x^3 - 5x^2 - 28x + 15$ .

2. Determine the value of

$m$ , if

$(x + 3)$ is a factor of

$x^3 - 3x^2 - mx + 24$ .

Answer:

$m =$

3. If

$(x - 1)$ divides the polynomial

$kx^3 - 2x^2 + 25x - 26$ without remainder, then find the value of

$k$ .

Answer:

$k =$

4. Check if

$(x + 2)$ and

$(x - 4)$ are the sides of a rectangle whose area is

$x^2 - 2x - 8$ by using factor theorem.

Answer:

Let

$p(x) = x^2 - 2x - 8$

$p(-2) =$

$p(4) =$

Therefore,

$(x + 2)$ and

$(x - 4)$ are of a rectangle.

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9. Two mark exercise problems IV