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The graph of a linear polynomial passes through the marked points P and Q (1 square = 1 unit). What is the zero of ?

Class 9PolynomialsPolynomials
  • A−3
  • B−1.5
  • C2/3
  • D1.5

Step-by-Step Solution

Slope , so . The zero solves , where the line cuts the -axis. is the -intercept, not the zero.
Answer: D) 1.5

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.

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