Find the value of k- if x -3 is a factor of p x - x 2-2 x - k-A- 2B- 3C- 4D- 5

The correct option is B 3Given nbsp;polynomial, nbsp;p(x) = x^2 nbsp;– 2x – k nbsp;x – 3 is a factor of p(x) Using factor theorem, p(3) = 0 3^2 nbs ...

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Standard IX

Mathematics

Types of the Polynomials Based on the Number of Terms

Find the valu...

Question

Find the value of $k$ , if $x - 3$ is a factor of $p (x) = x^{2} - 2 x - k$ .

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Solution

The correct option is B $3$
Given polynomial, $p (x) = x^{2} - 2 x - k$
$x - 3$ is a factor of $p (x)$
Using factor theorem,
$p (3) = 0$
$3^{2} - 2 \times 3 - k = 0$
$k = 3$

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Find the value of k, if x–3 is a factor of p(x)=x2–2x−k.

The correct option is B 3Given polynomial, p(x)=x2–2x–k x–3 is a factor of p(x) Using factor theorem, p(3)=0 32–2×3–k=0 k=3

Find the value of $k$ , if $x - 3$ is a factor of $p (x) = x^{2} - 2 x - k$ .

The correct option is B $3$
Given polynomial, $p (x) = x^{2} - 2 x - k$
$x - 3$ is a factor of $p (x)$
Using factor theorem,
$p (3) = 0$
$3^{2} - 2 \times 3 - k = 0$
$k = 3$