Question
Factorise : $1-18 z-63 z^2$
✓
Answer
$(1-21 z)(1+3 z)$
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
If $2^x=3^y=6^{-z}$, show that : $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0$.
→Construct a frequency table for the following ages (in years) of 30 students using equal class-intervals, one of them being 9 - 12, where 12 is not included.
18,12,7,6,11,15,21,9,8,13,15,17,22,19,14,21,23,8,12,17,15,6,18,23,22,16,9,21,11,16
18,12,7,6,11,15,21,9,8,13,15,17,22,19,14,21,23,8,12,17,15,6,18,23,22,16,9,21,11,16
Rohit borrows ₹ 62500 from Arun for 2 years at 10% per annum, simple interest. He immediately lends out this sum to Kunal at 10% per annum for the same period, compounded annually. Calculate Rohit's profit in the transaction at the end of two years.
Evaluate the following without using log table :
$\frac{\log 27}{\log \sqrt{3}}$
→$\frac{\log 27}{\log \sqrt{3}}$
In the given figure, $\triangle ABC$ is an equilateral triangle having each side equal to 10 cm and $\triangle PBC$ is right angled at P in which $PB =8 cm$. Find the area of the shaded region.
→Factorise the following:$y^4 + y^2 + 1$
→In the adjoining figure, ABCD is a rhombus whose diagonals intersect at O .
If $\angle OAB : \angle OBA =2: 3$, find the angles of $\triangle OAB$.
→If $\angle OAB : \angle OBA =2: 3$, find the angles of $\triangle OAB$.
The daily minimum temperature recorded (in degree F) at a place during a week was as under :
Find the mean temperature.
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
| 35.2 | 31.1 | 27.6 | 31.8 | 29.3 | 23.8 |
Using the step-deviation method, find the mean from the following data :
→| $x_i$ | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
| $f_i$ | 170 | 320 | 530 | 700 | 230 | 140 | 110 |
Factorise : $5 - (3a^2- 2a) (6 - 3a^2+ 2a)$
→