Quadratic polynomials with rational coefficients having 3 as a ze… - Vidyadip

Question

Quadratic polynomials with rational coefficients having $\sqrt{3}$ as a zero are given by __________.

✓

Answer

$k\left(x^2-3\right)$,where k is constant

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Fill In The Blanks[1 Marks ]" from Polynomials→Polynomials — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

The pair of equations $\lambda x+3 y=7,2 x+6 y=14$ will have infinitely many solutions for $\lambda=$ __________.

Simplest form of $(1-\cos^2\text{A})(1+\cos^2\text{A})$ is __________.

The area of the minor segment of angle $\theta^{\circ}$ of a circle of radius r is ____________ .

If $a_n$ denotes the $n^{\text {th }}$ term of the A.P. 3, 8, 13, 18, ..., then the value of $a_{30}-a_{20}$ is __________.

The value of $\left(\sin 30^{\circ}+\cos 30^{\circ}\right)-\left(\sin 60^{\circ}+\cos 60^{\circ}\right)$ is ____________ .

If the angle between two tangents drawn from a point P to a circle of radius a and centre O is $60^{\circ}$, then OP = ____________ .

$\frac{3\cot40^\circ}{\tan50^\circ}-\frac{1}{2}\Big(\frac{\cos35^\circ}{\sin55^\circ}\Big)=$ ________.

The area of a sector whose perimeter is four times its radius 7, is ____________ .

Tangents drawn from an external point to a circle subtend ____________ angles to the centre.

If the height of a tower and the distance of the point of observation from its foot, both, are increased by 10%, then the angle of elevation of its top remains ____________ .