The maximum number of turns in the graph of the polynomial $x^{4} - 3 x + 5$ will be .

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

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

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

Open in App

Solution

The correct option is B 3
The maximum number of turns in the graph of a polynomial = (degree of the polynomial - 1).
For the expression, $x^{4} - 3 x + 5$ , the degree = 4 .(The degree of a polynomial is the highest power of the variable among its various terms.)
Hence, the maximum number of turns in the polynomial $x^{4} - 3 x + 5$ can be (4-1) = 3.

Suggest Corrections

Similar questions

p

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

The degree of the polynomial obtained when $8 - 6 x + x^{2} - 7 x^{3} + x^{5}$ is subtracted from $x^{4} - 6 x^{3} + x^{2} - 3 x + 1$ is:

3 x - x^{4} + 5 x^{3} + 2 x^{2} - 5

f

f (x) = x^{4} - 2

x^{4} - 3 x + 2, x^{3} - 3 x^{2} + 3 x - 1

x^{4} - 1

Join BYJU'S Learning Program