Verify whether following are zeroes of polynomial, indicated against them. p(x)=lx+m,,, x=-,frac{m}{

English

Gujarati

Hindi

2. Polynomials

easy

Verify whether the following are zeroes of the polynomial, indicated against them.

$p(x)=lx+m,\,\, x=-\,\frac{m}{l}$

Option A

Option B

Option C

Option D

Solution

If $x=\frac{-m}{l}$ is a zero of polynomial $p(x)=lx+m,$ then should be $0 .$

Here, $p\left(\frac{-m}{l}\right)=l\left(\frac{-m}{l}\right)+m=-m+m=0$

Therefore, $x=\frac{-m}{l}$ is a zero of the given polynomial.

Standard 9

Mathematics

Share

Similar Questions

Verify : $x^{3}+y^{3}=(x+y)\left(x^{2}-x y+y^{2}\right)$

easy

Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given : $\boxed{\rm {Area}\,:35{y^2}+ 13y – 12}$

medium

Evaluate the following products without multiplying directly : $104 \times 96$

easy

Factorise : $2 x^{2}+y^{2}+8 z^{2}-2 \sqrt{2} x y+4 \sqrt{2} y z-8 x z$

easy

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

medium