The number 2 is fed into the machine shown. What number comes out?

Class 9PolynomialsPolynomials

Step-by-Step Solution

p (2) = 3 (2)^{2} - 5 (2) + 4 = 12 - 10 + 4 = 6

. Writing

3 x^{2}

3 \times 2 = 6

or as

(3 \cdot 2)^{2}

are common slips.

Answer: C) 6

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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