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