Factorise: q^2-10 q+21 - Vidyadip

Question

Factorise:
$q^2-10 q+21$

✓

Answer

$q^2-10 q+21$
$=q^2+7 q-3 q+21$
$\{21=(-7) \times(-3),-10=-7-3\}$
$=q(q-7)-3(q-7)$
$=(q-7)(q-3)$

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

Explore more

More "2 Mark Question" from Factorisation→Factorisation — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Find the value of x for which the number x806 is divisible by 9. Also, find the number.

Factorise:
$16 x^5-144 x^3$

Find the cube root of the following numbers.

343

Subtract the first rational number from the second in the following:
$\frac{11}{13},\frac{-4}{13}$

Expand:
$\Big(\frac{3\text{x}}{4}+\frac{2\text{y}}{9}\Big)^2$

Subtract:
$\frac{3}{4}\ \text{from}\ \frac{1}{3}$

Solve:
$144 a^2-289 b^2$

Find the squares of the following numbers.
$405$

Find the following products:
$\frac{25}{-9}\times\frac{3}{-10}$

Subtract the first rational number from the second in the following:
$\frac{-7}{9},\frac{4}{9}$