- A9985
- B9785
- C9800
- D10185
Step-by-Step Solution
The shortcut only works when the two numbers are equally far from 100. Here use with . The student dropped the middle term entirely.
Answer: B) 9785
A student evaluates as , borrowing the shortcut. What is the correct value?
Class 9PolynomialsPolynomials
Key idea: Naming polynomials by terms and degree
By number of terms:
- **Monomial**: 1 term (e.g. )
- **Binomial**: 2 terms (e.g. )
- **Trinomial**: 3 terms (e.g. )
By degree:
- **Linear** (degree 1):
- **Quadratic** (degree 2):
- **Cubic** (degree 3):
- **Biquadratic** (degree 4):
A polynomial can fit multiple categories. is both a monomial and a cubic.
- **Monomial**: 1 term (e.g. )
- **Binomial**: 2 terms (e.g. )
- **Trinomial**: 3 terms (e.g. )
By degree:
- **Linear** (degree 1):
- **Quadratic** (degree 2):
- **Cubic** (degree 3):
- **Biquadratic** (degree 4):
A polynomial can fit multiple categories. is both a monomial and a cubic.
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