Question
If a quadratic polynomial f(x) is factorizable into linear distinct factors, then what is the total number of real and distinct zeros of f(x)?

Answer

In a quadratic polynomial f(x) its degree is 2 and it can be factorised in to two distinct linear factors.
f(x) has two distinct zeros.

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

Similar questions

A vessel in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14cm and the total height of the vessel is 13cm. Find the inner surface area of the vessel.
Express the following in terms of trigonometric ratios of angles lying between 0° and 45°.$\sin59^\circ+\cos56^\circ$
Evaluate the following:
$\frac{\sin19^\circ}{\cos71^\circ}$
To warm ships for underwater rocks, a lighthouse spreads a red coloured light over a sector of angle $80^\circ$ to a distance of 16.5 km. Find the area of the sea over which the ships are warned. (use $ \pi = 3.14 )$
In a $\triangle\text{ABC},\text{AD}$ is a median and $\text{AL}\perp\text{BC}.$
Prove that:
  1. $\text{AC}^2=\text{AD}^2+\text{BC}.\text{DL}+\Big(\frac{\text{BC}}{2}\Big)^2$
  2. $\text{AB}^2=\text{AD}^2-\text{BC}.\text{DL}+\Big(\frac{\text{BC}}{2}\Big)^2$
  3. $\text{AC}^2+\text{AB}^2=2\text{AD}^2+\frac{\text{1}}{2}\text{BC}^2$
The wickets taken by a bowler in 10 cricket matches are as follows :
2, 6, 4, 5, 0, 2,1, 3, 2, 3
Find the mode of the above data.
The median value for the following frequency distribution is $35$ and the sum of the all frequencies is $170$. Using the formula for median, find the missing frequencies.
Class
0-10
10-20
20-30
30-40
40-50
50-60
60-70
Frequency
10
20
?
40
?
25
15
Prove that $\sqrt{3}+\sqrt{2}$ is irrational.
If A = 30° and B = 60°, verify that.
$\cos(\text{A}+\text{B})=\cos\text{A}\cos\text{B}-\sin\text{A}\sin\text{B}$
In Figure, a chord $AB$ of a circle of radius $10 \ cm$ subtends a right angle at the centre
Image
Find
$i$. Area of sector $\text{OAPB}$
$ii$. Area of minor segment $\text{APB}. \ ($Use $\pi=3.14)$