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A cube of side is cut into 8 blocks, as shown. The orange block measures a by by . All the blocks of this shape together give which term of ?

Class 9PolynomialsPolynomials
  • A
  • B
  • C
  • D

Step-by-Step Solution

. Each cut edge is a or ; exactly 3 of the 8 blocks have one a-edge and two b-edges, each of volume , so together .
Answer: C)

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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