Question
Write a quadratic polynomial, sum of whose zeros is $2\sqrt{3}$ and their product is $2$.
✓
Answer
Sum of zeros $=2\sqrt{3}$
and product of zeros = $2$
Quadratic polynomial will be$ f(x) = x^2$ - $\text(sum of zeros) x$ + $\text product of zeros$
$ = \text{x}^2 – 2\sqrt{3}\text{x} + 2$
and product of zeros = $2$
Quadratic polynomial will be$ f(x) = x^2$ - $\text(sum of zeros) x$ + $\text product of zeros$
$ = \text{x}^2 – 2\sqrt{3}\text{x} + 2$
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
Solve the following simultaneous equation.
99x + 101 y = 499; 101x + 99y = 501
99x + 101 y = 499; 101x + 99y = 501
Prove the following.
$cot^2\theta - tan^2\theta = cosec^2\theta - sec^2\theta $
→$cot^2\theta - tan^2\theta = cosec^2\theta - sec^2\theta $
Solve : x² + 8x - 48 = 0
From adjoining figure, $\angle ABC =90^{\circ}, \angle DCB =90^{\circ}, AB =6, DC =8$, then $\frac{ A (\triangle ABC )}{ A (\triangle BCD )}=$ ?
→Very-Short-Answer Question:
If $3$ is a zero of the polynomial $2x^2 + x + k$, find the value of $k.$
→If $3$ is a zero of the polynomial $2x^2 + x + k$, find the value of $k.$
In the figure 7.40,∠ AOB = 30°, OA = 12 cm . Find the area of the segment. (π = 3.14)
$2 x-3 y=14 ; 5 x+2 y=16$
→If a $\triangle\text{ABC},$ AD is the bisector of $\angle\text{A},$ Meeting side BC at D.
If AB = 10cm, AC = 14cm and BC = 6cm, find BD and DC
→If AB = 10cm, AC = 14cm and BC = 6cm, find BD and DC
In a hockey team there are 6 defenders , 4 offenders and 1 goalee. Out of these, one player is to be selected randomly as a captain. Find the probability of the selection that -
A defender will be selected.
A defender will be selected.
