Find the greatest common factor of the polynomial: 4 a^2 b^3,-12 … - Vidyadip

Question

Find the greatest common factor of the polynomial:
$4 a^2 b^3,-12 a^3 b, 18 a^4 b^3$

✓

Answer

The numerical coefficients of the given monomials are $4,-12$ and 18 .
The greatest common factor of $4,-12$ and 18 is 2 .
The common literals appearing in the three monomials are a and b.
The smallest power of a in the three monomials is 2 .
The smallest power of $b$ in the three monomials is 1.
The monomial of the common literals with the smallest powers is $a^2 b$.
Hence, the greatest common factor is $2 a^2 b$.

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 "3 Mark Question" from Factorization→Factorization — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Rahman lent Rs. 16000 to Rasheed at the rate of $12\frac{1}{2}\%$ per annum compound interest. Find the amount payable by Rasheed to Rahman after 3 years.

Expand: $(2 m-5)^3$

Find the sum of the lengths of the bases of a trapezium whose area is $4.2 m^2$ and whose height is 280 cm .

Divide 150 into three parts such that the second number is five-sixths the first and the third number is four-fifths the second.

Re-arrange suitably and find the sum in the following:
$\frac{1}{8}+\frac{5}{12}+\frac{2}{7}+\frac{7}{12}+\frac{9}{7}+\frac{-5}{16}$

Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication,
$71$

Aman started a factory with an initial investment of Rs. 100000. In the first year, he incurred a loss of 5%. However, during the second year, he earned a profit of 10% which in the third year rose to 12%. Calculate his net profit for the entire period of three years.

A die was thrown 25 times and following scores were obtained:
1, 5, 2, 4, 3, 6, 1, 4, 2, 5, 1, 6, 2, 6, 3, 5, 4, 1, 3, 2, 3, 6, 1, 5, 2.
Prepare a frequency table of the scores.

By selling a flower pot for Rs. 322, a man gains 15%. At what price should he sell it to gain 20%?

Simplify:
$x^2\left(x^2+1\right)-x^3(x+1)-x\left(x^3-x\right)$