Value of k, if x-1 is a factor of 4 x^{3}+3 x^{2}-4 x+k .

English

Gujarati

Hindi

2. Polynomials

medium

Find the value of $k,$ if $x-1$ is a factor of $4 x^{3}+3 x^{2}-4 x+k$.

A

$4$

B

$-3$

C

$3$

D

$-4$

Solution

As $x-1$ is a factor of $p(x)=4 x^{3}+3 x^{2}-4 x+k, p(1)=0$

Now, $p(1)=4(1)^{3}+3(1)^{2}-4(1)+k$

So, $4+3-4+k=0$

i.e., $k=-3$

Standard 9

Mathematics

Share

Similar Questions

Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=2 x^{2}+k x+\sqrt{2}$

medium

Find $p(0)$, $p(1)$ and $p(2)$ for of the following polynomials : $p(x)=x^{3}$

easy

Factorise each of the following : $27 p^{3}-\frac{1}{216}-\frac{9}{2} p^{2}+\frac{1}{4} p$

easy

Determine which of the following polynomials has $(x + 1)$ a factor : $x^{4}+x^{3}+x^{2}+x+1$.

medium

Use suitable identities to find the products : $(x+8)(x-10)$

easy