Divide the given polynomial by the given monomial: (x^3+2 x^2+3 x… - Vidyadip

Question

Divide the given polynomial by the given monomial: $\left(x^3+2 x^2+3 x\right) \div 2 x$

✓

Answer

$\left(x^3+2 x^2+3 x\right) \div 2 x$
$ = \frac{{{x^3} + 2{x^2} + 3x}}{{2x}}$
$ = \frac{{x({x^2} + 2x + 3)}}{{2x}}$
$ = x^2 + 2x+ 3 \over 2$

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 Marks Questions" from Factorization→Factorization — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Use the distributivity of multiplication of rational numbers over their addition to simplify:$\frac{3}{5}\times \Big(\frac{35}{24}+\frac{10}{1}\Big)$

Name the property used in each of the following
(i) $\left(-\frac{7}{11}\right) \times\left(\frac{-3}{5}\right)=\left(\frac{-3}{5}\right) \times\left(\frac{-7}{11}\right)$
(ii) $\frac{2}{3} \times[\frac{3}{4}+(\frac{-1}{2})]=[(\frac{-2}{3})\times\frac{3}{4}] +[(\frac{-2}{3})\times (\frac{-1}{2})]$
(iii) $\frac{1}{3} +[\frac{4}{9}+(\frac{4}{3})]-[\frac{1}{3}+\frac{4}{9}]+(\frac{-4}{3})$
(iv) $\frac{-2}{7}+0=0+(\frac{-2}{7})=\frac{2}{7}$
(v) $\frac{3}{8} \times1=1\times\frac{3}{8}=\frac{3}{8}$

Evaluate the following: $\sqrt[3]{\frac{0.027}{0.008}}\div\sqrt\frac{0.09}{0.04}-1$

Find the cube root of the following rational numbers: $\frac{-125}{729}$

A scooter was bought at ₹ 42000. Its value depreciated at the rate of 8% per annum. Find its value after one year.

Find the square roots of the following number by the prime factorisation method.
729

Find the least number which must be subtracted from the following numbers to make tham a perfact square: $2361$

Radhe earns $22\%$ of her investment. If she earns $Rs. 187,$ then how much did she invest$?$

Which of the following number are not perfect cube$?\ 216$

Find the smallest whole number with which $252$ should be multiplied so as to get perfect square number. Also find the square root of the square number so obtained.