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

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

1. $x+x^{2}+4$

2. $3 x-2$

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

4. $3 y$

5. $t^{2}+1$

f. $7 t^{4}+4 t^{2}+3 t-2$

Solution:

Given

1. $x+x^{2}+4$ – it is a quadratic polynomial as its degree is 2

2. $3 x-2$ – it is a linear polynomial as its degree is 1

3. $2 x+x^{2}-$ it is a quadratic polynomial as its degree is 2

4. $3 y$ – it is a linear polynomial as its degree is 1

5. $t^{2}+1$ – it is a quadratic polynomial as its degree is 2

f. $7 t^{4}+4 t^{2}+3 t-2$ – it is a bi-quadratic polynomial as its degree is 4

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