Factorise 6x² + 17x + 5 by splitting the middle term.

(2x + 5)(3x + 1). 6 × 5 = 30; split 17 as 15 + 2. 6x² + 15x + 2x + 5 = 3x(2x + 5) + 1(2x + 5) = (2x + 5)(3x + 1).

Factorise $6 x^{2} + 17 x + 5$ by splitting the middle term.

Class 9PolynomialsPolynomials

6 \times 5 = 30

; split 17 as 15 + 2.

6 x^{2} + 15 x + 2 x + 5 = 3 x (2 x + 5) + 1 (2 x + 5) = (2 x + 5) (3 x + 1)

Answer: A)

(2 x + 5) (3 x + 1)

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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