The polynomial- -3x2-2x-1 is a polynomial-

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Polynomials

The polynomia...

Question

The polynomial, $\sqrt{3} x^{2} + 2 x + 1$ is a _______ polynomial.

linear

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quadratic

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cubic

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bi-quadratic

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Solution

The correct option is B quadratic
Quadratic equation is a second order polynomial with $3$ coefficients - $a, b, c$ . The quadratic equation is given by: $a x^{2} + b x + c = 0$ .

Here, the polynomial ${\sqrt{3} x}^{2} + 2 x + 1$ is a second order polynomial and has three coefficients $a = \sqrt{3}$ , $b = 2$ and $c = 1$ .

Hence, the polynomial ${\sqrt{3} x}^{2} + 2 x + 1$ is a quadratic polynomial.

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Similar questions

The roots of the quadratic equation $3 x^{2} - 2 x - 1 = 0$ are 1 and $- \frac{1}{3}$ . From this information, determine which of the following options will be the zeros of the quadratic polynomial $3 x^{2} - 2 x - 1$

$x = - 1$ is a zero of the quadratic polynomial $3 x^{2} + 7 x + 2$ .

Q. If

α

and

β

are the zeros of the quadratic polynomial

f (x) = 3 x^{2} - 4 x + 1

, then find a quadratic polynomial whose zeros are

\frac{α^{2}}{β}

and

\frac{β^{2}}{α}

Identify the quadratic polynomials among the following.

1. $3 x^{2} + 2 x + 1$

2. $x^{2} + 2 x + 3$

3. $\sqrt{3} x^{2} + 5$

4. $y + \sqrt{2}$

Q. Is the following quadratic polynomial reducible or irreducible?

f (x) = - 2 x^{2} - 2 x - 1

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The polynomial, √3x2+2x+1 is a _______ polynomial.

The polynomial, $\sqrt{3} x^{2} + 2 x + 1$ is a _______ polynomial.