Question

write the number of zeros of the polynomial P of x = x cube + 2 X square + X + 6​

Answer 1

Given: The equation x³ + 2x² + x + 6 = 0

To find: the number of roots of the polynomial.

Solution:

• Now we know that the fundamental theorem of algebra states that whether it is odd or even, any polynomial of positive order can have a maximum number of zeros equal to its order.

• So the polynomial given is:

                x³ + 2x² + x + 6 = 0

• So it will have 3 roots.

• As the degree is 3.

Answer:

          The number of roots of the polynomial x³ + 2x² + x + 6 = 0 is 3.

Answer 2

The answer is 3 because (x cube) is the large number