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Addition and Subtraction of Polynomials

Which of the ...

Question

Which of the following expressions is/are a polynomial and why?
A. $x + \sqrt x - 3$
B. $x^{2} - 3 x - 5$
C. $- x^{2} + 0.5 x + 2$
D. $x - 3 x^{0.5} + 1$

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Solution

Correct options are $x^{2} - 3 x - 5$ and $- x^{2} + 0.5 x + 2$

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Similar questions

Q. One of the factors of cubic polynomial

x^{3} - x^{2} + a x + x - a - 1

Q. Find the degree of the following polynomials.
A.

x^{4} + 3 x^{2} + 8

x^{2} + 6 x^{3} + 3

1 + x + x^{2} + \dots + x^{30}

Q. Find the value of ‘t’ for which the polynomial,

p (x) = x^{3} + 3 x^{2} + 2 x + t

3

as remainder when divided by

(x - 1)

Q. What’s the value of the polynomial

p (x) = x^{2} - 2 x

x = 2

Q. In the question, a statement of assertion (𝐀) is followed by a statement of reason (𝐑). Mark the correct choice.

Assertion: The polynomial

p (x) = 4 x^{3} - 3 x^{2} + 5 x - 6

when divided by (𝒙 − 𝟏) gives zero as the remainder.

Remainder: (𝒙 − 𝟏) is a factor of the polynomial

p (x) = 4 x^{3} - 3 x^{2} + 5 x - 6

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