Classify the following as linear, quadratic and cubic polynomials:

1) $x - x^{3}$

2) $y + y^{2} + 4$

3) $1 + x$
4) $x - x y$ [ 4 MARKS]

Open in App

Solution

Concept: 0.5 Mark each
Application: 0.5 Mark each

1) $x - x^{3}$
Degree of this polynomial is 3 which means that it is a cubic polynomial.

2) $y + y^{2} + 4$
Degree of this polynomial is 2 which means that it is a quadratic polynomial.

3) $1 + x$
Degree of this polynomial is 1 which means that it is a linear polynomial.

4) $x - x y$
Degree of this polynomial is 2 which means that it is a quadratic polynomial.

Suggest Corrections

Similar questions

Classify the following as linear, quadratic and cubic polynomials.

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

(2) $x - x^{3}$

(3) $y + y^{2} + 4$

(4)1 + x

x^{2} + x

x - x^{3}

y + y^{2} + 4

1 + x

3 t

r^{2}

7 x^{3}

x^{3} - 4

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

Join BYJU'S Learning Program