The degree of the polynomial $3 z^{2} + z + 1$ is 4.

True

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

False

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

Open in App

Solution

The correct option is B
False

The given polynomial is a polynomial in one variable.

We know that the degree of a polynomial in one variable is the highest exponent of its various terms.

The terms of the given polynomial are $3 z^{2}$ , $z$ and 1.

Here, the term $3 z^{2}$ has the highest power for the variable $z$ and hence the degree of the given polynomial is 2.

Therefore the given statement is false.

Suggest Corrections

Similar questions

4 z^{3} - 3 z^{5} + 2 z^{4} + z + 1

(x + 1) (x^{2} - x - x^{4} + 1)

12 z^{3} + 4 z + 3 z^{2} + 1

4 z + 1

Find, whether or not the first polynomial is a factor of the second :

(i) $x + 1, 2 x^{2} + 5 x + 4$

(ii) $y - 2, 3 y^{3} + 5 y^{2} + 5 y + 2$

(iii) $4 x^{2} - 5, 4 x^{4} + 7 x^{2} + 15$

(iv) $4 - z, 3 z^{2} - 13 z + 4$

(v) $2 a - 3, 10 a^{2} - 9 a - 5$

(vi) $4 y + 1, 8 y^{2} - 2 y + 1$

Join BYJU'S Learning Program