Find the maximum number of zeroes and degree of the polynomial P x -11 x 6- x 5-3 x 4- x 3- x 2- x -1-A- 6 and 6 respectivelyB- None of theseC- 6 and 5 respectivelyD- 3 and 4 respectively

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Standard X

Mathematics

Quadratic Polynomial

Find the maxi...

Question

Find the maximum number of zeroes and degree of the polynomial P(x) = 11 $x^{6}$ + $x^{5}$ + 3 $x^{4}$ + $x^{3}$ + $x^{2}$ + x +1.

6 and 6 respectively

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6 and 5 respectively

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3 and 4 respectively

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None of these

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Solution

The correct option is A
6 and 6 respectively

The degree of the polynomial is the highest power on any term in the polynomial, and the maximum number of zeroes a polynomial can have is equal to the degree of the polynomial.

In the given polynomial P(x) = 11x⁶ + x⁵ + 3x⁴ + x³ + x² + x +1.

The degree of the polynomial is 6 and the maximum number of zeroes is 6.

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Find the maximum number of zeroes and degree of the polynomial P(x) = 11x6 + x5 + 3x4 + x3 + x2 + x +1.

Find the maximum number of zeroes and degree of the polynomial P(x) = 11 $x^{6}$ + $x^{5}$ + 3 $x^{4}$ + $x^{3}$ + $x^{2}$ + x +1.