What is the maximum number of times the graph of the polynomial $y = p x^{3} + q x^{2} + r x + s$ intersects the x axis?

$[2]$

Open in App

Solution

The graph of a polynomial of degree ‘n’ can cut the x-axis at a maximum of ‘n’ values.
$[1]$

Since the given polynomial has a degree 3, it can cut the x axis at most 3 times.
$[1]$

Suggest Corrections

Similar questions

y = p x^{3} + q x^{2} + r x + s

y = p x^{3} + q x^{2} + r x + s

y = p x^{3} + q x^{2} + r x + s

What is the maximum number of times when the graph of the polynomial y = $p x^{3} + q x^{2} + r x + s$ attain y = 0?

p x^{3} + q x^{2} + r x + s

Join BYJU'S Learning Program