The difference of the degrees of the polynomials $3 x^{2} y^{3} + 5 x y^{7} - x^{6}$ and $3 x^{5} - 4 x^{3} + 2$ is:

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $3$
The degree of the 1st polynomial is $8 (a s t h e t e r m x^{1} y^{7})$ while that of the 2nd polynomial is $5 (a s t h e t e r m x^{5})$ .
Hence difference $= 8 - 5 = 3$
Therefore option B is correct.

Suggest Corrections

Similar questions

x^{3}

x^{6} + 3 x^{5} - 4 x^{3} + 2 x = 0

x^{6} - 3 x^{5} + 4 x^{3} + 3 x^{2} + 4 = 0

2

x^{6} - 3 x^{5} + 4 x^{3} + 3 x^{2} + 4 = 0

x^{6}

x^{3}

x^{6} - 3 x^{5} + 4 x^{3} + 3 x^{2} + 4 = 0

f (x) = x^{6} - 3 x^{5} + 4 x^{3} + 3 x^{2} + 4 \Rightarrow f (x)

f (x) = \frac{(x^{3} + x^{2} - 4) (x^{3} - 8)}{(x - 2)}

Join BYJU'S Learning Program