The degree of polynomial $p (x) = x^{2} - 3 x - 4 x^{3} - 6$ is

2

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1

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3

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6

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Solution

The correct option is C $3$
Given : $p (x) = x^{2} - 3 x - 4 x^{3} - 6$

Since the greatest exponent in $p (x)$ is $3$ , thus the degree of $p (x)$ is $3$ .

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Q. The factors of the polynomial

p (x) = 4 x^{3} + x^{2} + 5 x + 8

are:

The factors of the polynomial equation P(x) = $4 x^{3} + x^{2} + 5 x + 8$ are

Statement1: The polynomial $P (x) = 4 x^{3} - 3 x^{2} + 5 x - 6$ when divided by $x - 1$ gives zero as the remainder.

Statement2: $(x - 1)$ is a factor of the polynomial $P (x) = 4 x^{3} - 3 x^{2} + 5 x - 6$ .

The factors of the polynomial equation P(x) = $4 x^{3} + x^{2} + 5 x + 8$ is

Verify that
(i) 1 and 2 are the zeros of the polynomial, $p (x) = x^{2} - 3 x + 2$ .
(ii) 2 and -3 are the zeros of the polynomial, $q (x) = x^{2} + x - 6.$
(iii) 0 and 3 are the zeros of the polynomial, $r (x) = x^{2} - 3 x$ .

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The degree of polynomial p(x)=x2−3x−4x3−6 is

The correct option is C 3Given : p(x)=x2−3x−4x3−6Since the greatest exponent in p(x) is 3, thus the degree of p(x) is 3.

The degree of polynomial $p (x) = x^{2} - 3 x - 4 x^{3} - 6$ is

The correct option is C $3$
Given : $p (x) = x^{2} - 3 x - 4 x^{3} - 6$

Since the greatest exponent in $p (x)$ is $3$ , thus the degree of $p (x)$ is $3$ .