Question
Define a polynomial with real coefficients.
✓
Answer
In the polynomial $\text{f(x)}=\text{a }_\text{n}\text{x}^\text{n}+\text{a}_{\text{n}-1}\text{x}^{\text{n}-1}+...+\text{a}_1\text{x}+\text{a}_0,\text{a}_\text{n}\text{x}^\text{n},\text{a}_{\text{n}-1}\text{x}^{\text{n}-1},...,\text{a}_1\text{x},$ and $a_0$ are known as the terms of the polynomial and $\text{a}_\text{n},\text{a}_{\text{n}-1},...,\text{a}_1$ $a_0$ are their real coefficients.
For example, $p(x) = 3x - 2$ is a polynomial and $3$ is a real coefficient
For example, $p(x) = 3x - 2$ is a polynomial and $3$ is a real coefficient
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Find the radius of a circle whose circumference is equal to the sum of the circumferences of two circles of radii $15\ cm$ and $18\ cm$.
→If $\tan (A+B)=\sqrt{3}$ and $\tan (A-B)=1,0^{\circ}<(A+B)<90^{\circ}$ and $A>B$ then find $A$ and $B$.
→Prove the following identites:
$\frac{1}{\big(1+\tan^2\theta\big)}+\frac{1}{\big(1+\cot^2\theta\big)}=1$
→$\frac{1}{\big(1+\tan^2\theta\big)}+\frac{1}{\big(1+\cot^2\theta\big)}=1$
Find the length of the shadow on the ground of a pole of height 18 m when angle of elevation $\theta$ of the sun is such that $\tan \theta=\frac{6}{7}$.
→Find the indicated terms in the following sequences whose $n ^{\text {th }}$ terms are: $a_n=5 n-4 ; a_{12}$ and $a_{15}$.
→Prove the following trigonometric identities.
$(\text{cosec}\theta+\sin\theta)(\text{cosec}\theta-\sin\theta)=\cot^2\theta+\cos^2\theta$
→$(\text{cosec}\theta+\sin\theta)(\text{cosec}\theta-\sin\theta)=\cot^2\theta+\cos^2\theta$
If $\sin \theta = \cos (\theta − 45^\circ),$ where $\theta$ and $\theta-45^\circ$ are acute angles, find the degree measure of $\theta.$
→The points $A\left(x_1, y_1\right), B\left(x_2, y_2\right)$ and $C\left(x_3, y_3\right)$ are the vertices of $\triangle A B C$.
Find the coordinates of the point $P$ on $A D$ such that $A P: P D=2: 1$.
→Find the coordinates of the point $P$ on $A D$ such that $A P: P D=2: 1$.
What is the value of $9\cot^2\theta-9\text{ cosec}^2\theta?$
→A child has a die whose 6 faces show the letters given below:
The die is thrown once. What is the probability of getting (i) A, (ii) D?