Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

(i) x + x² + 4

(ii) 3x − 2

(iii) 2x + x²

(iv) 3y

(v) t² + 1

(vi) 7t⁴ + 4t³ + 3t − 2

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Solution

(i)

The degree of the polynomial is 2. It is quadratic in x.

So, it is quadratic polynomial.

(ii)

The degree of the polynomial is 1. It is a linear polynomial in x.

(iii)

The degree of the polynomial is 1.

It is linear a polynomial in x.

(iv) 3y

The degree of the polynomial is 1. It is linear in y.

(v)

The degree of the polynomial is 2. It is quadratic polynomial in t.

(vi)

The degree of the polynomial is 4. Therefore, it is bi-quadratic polynomial in t.

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Similar questions

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials :

(i) $x + x^{2}$ + 4

(ii) 3x - 2

(iii) 2x + $x^{2}$

(iv) 3y

(v) $t^{2}$ + 1

(vi) $7 t^{4} + 4 t^{3}$ + 3t - 2

x^{2} + x

x - x^{3}

y + y^{2} + 4

1 + x

3 t

r^{2}

7 x^{3}

4 x^{3} + 2 x + 6

9 x^{3}

2 x^{2} + 2 x + 7

(i) 2 - x^{2} + x^{3} (i i) 3 x^{3} (i i i) 5 t - \sqrt{7} (i v) 4 - 5 y^{2}

(v) 3 (v i) 2 + x (v i i) y^{3} - y (v i i i) 1 + x + x

(i x) t^{2} (x) \sqrt{2} x - 1

x^{2} + x + 4

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