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
In right$-$angled triangle $A B C ; \angle B=90^{\circ}$. Find the magnitude of angle $A$, if:$a. A B$ is $\sqrt{3}$ times of $B C$.$B . B C$ is $\sqrt{3}$ times of $B C$.
→ABCD is a quadrilateral. If $AL \perp BD$ and $CM \perp BD$, prove that : $\operatorname{ar}($ quad. ABCD $)=\frac{1}{2} \times BD \times( AL + CM )$.
→Find the length of the perpendicular of a triangle whose base is $5\ cm$ and the hypotenuse is $13\ cm.$ Also, find its area.
→A chord of length $6 \ cm$ is drawn in a circle of radius $5 \ cm.$Calculate its distance from the center of the circle.
→For the equation given below, find the slope and the $y-$intercept$:3y = 7$
→A shopkeeper marks the price of an article at $Rs. 1200.$ Find the selling price, if he allows:three successive discounts of $10\%, 8\%$ and $5\%.$
→The radius of a circle is 40 cm and the length of perpendicular drawn from its centre to a chord is 24 cm . Find the length of the chord.
Without using tables, find the value of the following: $\frac{\sin 30^{\circ}}{\sin 45^{\circ}}+\frac{\tan 45^{\circ}}{\sec 60^{\circ}}-\frac{\sin 60^{\circ}}{\cot 45^{\circ}}-\frac{\cos 30^{\circ}}{\sin 90^{\circ}}$
→If $\frac{5+2 \sqrt{3}}{7+4 \sqrt{3}}=a-b \sqrt{3}$, find the values of $a$ and $b$.
→Prove the following: $\sin ^2 30^{\circ}+\cos ^2 30^{\circ}=\frac{1}{2} \sec 60^{\circ}$
→