Find the greatest common factor of the polynomial: 5 a^4+10 a^3-1… - Vidyadip

Question

Find the greatest common factor of the polynomial:
$5 a^4+10 a^3-15 a^2$

✓

Answer

The numerical coefficients of the given monomials are $5 a ^4, 10 a ^3$ and $15 a ^2$.
The greatest common factor of $5 a^4, 10 a^3$ and $15 a^2$ is 5 .
The common literal appearing in the three monomials is a.
The smallest power of a in the three monomials is 2 .
The monomial of common literals with the smallest powers is $a^2$.
Hence, the greatest common factor is $5 a ^2$.

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 "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

Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm , 36 cm and 24 cm .

The value of a machine depreciates every year by 10%. If the present value of the machine is Rs. 54000, what was its value last year?

Find the smallest number by which 8788 must be divided so that the quotient is a perfect cube.

Find whether, or not the first polynomial is a factor of the second:
$\frac{4\text{x}^4+12\text{x}^2+15}{4\text{x}^2-5}$

Meera borrowed a sum of Rs. 1000 from Sita for two years. if the rate of interest is 10% compounded annually, find the amount that Meera has to pay back.

If the thickness of a pile of 12 cardboards is 35 mm, find the thickness of a pile of 294 cardboards.

Complite the following tables given that x varies directly as y.

x	3	5	7	9
y	...	20	28	...

An alloy contains 30% copper, 42% nickel and rest zinc. Find the mass of zinc in 1kg of alloy.

x is 5% of y, y is 24% of z. If x = 480, find the values of y and z.

Find the following products:
$\left(3 x^2-4 x y\right)\left(3 x^2-3 x y\right)$