Which one of the following is a quadratic polynomial?

x^{2} + 3

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

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2 x^{4} + 4 x^{3} + 3 x^{2} + 6

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None of the above

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Solution

The correct option is A $x^{2} + 3$
We know that, a $q u a d r a t i c p o l y n o m i a l$ is a $p o l y n o m i a l$ of degree $2$ .
Also, the degree of a polynomial is the highest power of the variable.

Hence,
$(A)$ The degree of $x^{2} + 3$ is $2$ .
$(B)$ The degree of $x^{3} + x^{2} + 4$ is $3$ .
$(C)$ The degree of $2 x^{4} + 4 x^{3} + 3 x^{2} + 6$ is $4$ .

Hence, $x^{2} + 3$ is a quadratic polynomial.

So, option A is correct.

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Similar questions

Which of the following is a quadratic polynomial ?
(a) $x + 4$
(b) $x^{3} + x$
(c) $x^{3} + 2 x + 6$
(d) $x^{2} + 5 x + 4$

Q. Which of the following graph represents the quadratic polynomial

- x^{2} + 5 x - 6

Question 2
Which of the following is not a quadratic equation?
(a) $2 (x - 1)^{2} = 4 x^{2} - 2 x + 1$
(b) $2 x - x^{2} = x^{2} + 5$
(c) ${(\sqrt{2} x + \sqrt{3})}^{2} = 3 x^{2} - 5 x$
(d) $(x^{2} + 2 x)^{2} = x^{4} + 3 + 4 x^{3}$

Question 2
Which of the following is not a quadratic equation?
(a) $2 (x - 1)^{2} = 4 x^{2} - 2 x + 1$
(b) $2 x - x^{2} = x^{2} + 5$
(c) ${(\sqrt{2} x + \sqrt{3})}^{2} = 3 x^{2} - 5 x$
(d) $(x^{2} + 2 x)^{2} = x^{4} + 3 + 4 x^{3}$

\int (x + x^{2} + x^{3} + x^{4})

dx is equal to

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