Question

Write the number of zeroes of the polynomial p(x)=x³+2x²+x+6

Answer 1

Answer:

p(X)=x³+2x²+x+6

p(-1)=(-1)³+2*(-1)²+(-1)+6

= -1+2+(-1)+6

= 2-2+6

=6

so, p(x) is not zero of polynomial

Answer 2

The number of zeros of the polynomial p(x) = 3.

Step-by-step explanation:

given :

polynomial = x³+2x²+x+6

We need to find the number of zeros of the polynomial p(x).

In a polynomial, if all degrees are positive, then the maximum number of zeros is equal to degree of the polynomial.

The highest degree of the polynomial P(x) is 3.

Number of zeros of the polynomial p(x) = 3

hence , the number of zeros of the polynomial p(x) = 3.

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