The polynomial p $(x)$ is the sum of the four cards shown. What is the degree of p $(x)$ ?

Class 9PolynomialsPolynomials

Step-by-Step Solution

The degree is the highest power of

x

: the terms have powers 2, 4, 0 and 3, so the degree is 4 (from

- 3 x^{4}

). The coefficient 7 and the sum of powers do not matter.

Answer: A) 4

By number of terms:
- **Monomial**: 1 term (e.g.

5 x^{3}

)
- **Binomial**: 2 terms (e.g.

x^{2} + 3

)
- **Trinomial**: 3 terms (e.g.

x^{2} + 2 x + 1

)

By degree:
- **Linear** (degree 1):

3 x - 5

- **Quadratic** (degree 2):

x^{2} - 4

- **Cubic** (degree 3):

2 x^{3} + x - 1

- **Biquadratic** (degree 4):

x^{4} + 1

A polynomial can fit multiple categories.

5 x^{3}

is both a monomial and a cubic.

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