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Degree of a Polynomial

Given that P ...

Question

Given that P(x) and Q(x) are polynomials of degree 3 with real coefficients, which one of the following is not true?

A

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B

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C

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D

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Solution

The correct option is B
The maximum degree of P(x) +Q(x) is 3

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Similar questions

lim x \to \infty \frac{2 x^{3} + 3 x^{2} - 4 x + 7}{3 x^{3} + 4 x^{2} - x - 9} = \frac{2}{3}

Reason: If p(x) & q(x) are polynomials then

lim x \to \infty \frac{p (x)}{q (x)}

is a finite non zero number if degree of p(x)=degree of q(x).

For each pair of polynomials p(x) and q(x) given below find the degree of p(x) + q(x) and p(x)q(x).

(i)

(ii)

(iii)

(iv)

Q. Find polynomials p(x) and q(x) such that

P (x) + q (x) = x^{2} - 4 x + 1 a n d P (x) - q (x) = x^{2} + 5 x - 2

Now for each pair of polynomials p(x) and q(x) given below, find p(x) + q(x) and p(x) − q(x). Also compute p(1) + q(1) and p(1) − q(1) for each.

(i)

(ii)

(iii)

(iv)

(v)

p (x)

q (x)

are two polynomials whose degrees are

8

m

and the degree of polynomial

p (x) \times q (x)

104

, then the value of

m

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