Question

9. Write the number of zeros of the polynomial p(x) = x° + 2x2 + x +6​

Answer 1

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p(x) = x³ + 2x² + x + 6

Since the highest power of x is 3, the polynomial p(x) will have 3 zeroes

The highest power of x or the variable present in the equation gives the number of zeroes

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Answer 2

Question :-

• Write the number of zeroes of the polynomial

p(x) = $\sf{\ x^{0}+2\ x^{2}+x+6}$

Answer :-

• 2

Explanation :-

• We find the no. of zeroes of any polynomial by the highest power of the variable .

• Here the variable is x and the highest power is 2 , So we can say that the equation has 2 zeroes .

Example :-

• $\sf{p(x)=\ x^{3}+\ 2x^{2} +6x +3}$

So, this polynomial has 3 zeroes because power had 3 as the highest variable