Question
Factorise : $x^3-5 x^2-x+5$
✓
Answer
$(x-5)(x+1)(x-1)$
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
Simplify the following:$\frac{2^{ m } \times 3-2^{ m }}{2^{ m +4}-2^{ m +1}}$
→Draw the graph for the each linear equation given below:$y=\frac{3 x}{2}+\frac{2}{3}$
→Factorise : $7-12 x-4 x^2$
→
In the adjoining figure, the inside perimeter of a running track with semi-circular ends and straight parallel sides is 312 m. The length of the straight portion of the track is 90 m. If the track has a uniform width of 2 m throughout, find its area.
$\begin{array}{ll}{[\text { Hint. }} & \frac{1}{2} \times 2 \pi r+\frac{1}{2} \times 2 \pi r+90+90=312 \Rightarrow r=21 m . \text { So, } R=23 m \\ & \left.\text { Area }=\left[(90 \times 2)+(90 \times 2)+\frac{1}{2} \pi\left(R^2-r^2\right)+\frac{1}{2} \pi\left(R^2-r^2\right)\right] m ^2\right]\end{array}$
If $x+2 y+3 z=0$ and $x^3+4 y^3+9 z^3=18 x y z;$ evaluate $:\frac{(x+2 y)^2}{x y}+\frac{(2 y+3 z)^2}{y z}+\frac{(3 z+x)^2}{z x}$
→The cross-section of a tunnel, perpendicular to its length is a trapezium ABCD in which AB = 8m DC 6 m and AL = BM The height of the tunnel is 2.4 m and its length is 40 m.
Find:
(i) the cost of paving the floor of the tunnel at 16 per m ^ 2
(ii) the cost of painting the internal surface of the tunnel, excluding the floor at the rate of 5 per $m ^2$
→Find:
(i) the cost of paving the floor of the tunnel at 16 per m ^ 2
(ii) the cost of painting the internal surface of the tunnel, excluding the floor at the rate of 5 per $m ^2$
Evaluate the following :
$\left\{\frac{(27)^{-3}}{9^{-3}}\right\}^{\frac{1}{3}}$
→$\left\{\frac{(27)^{-3}}{9^{-3}}\right\}^{\frac{1}{3}}$
In the given figure, $\triangle ABC$ is an equilateral triangle and BC is produced to D such that $BC = CD$. Prove that $AD \perp AB$.
→A number of two digits exceeds four times the sum of its digits by 6 and the number is increased by 9 on reversing the digits. Find the number.
The radii of two concentric circles are 17 cm and 10 cm . A line segment PQRS cuts the larger circle at $P$ and $S$ and the smaller circle at $Q$ and $R$. If $Q R=12 cm$, find the length PQ .
→