Give Five Examples For Linear Polynomial Quadratic Cubic Polynomial

Here are five easy examples for each type of polynomial with simple explanations:

Linear Polynomials

A linear polynomial has the highest power of x as 1. It looks like a straight line when graphed.

• 2x + 3 — The highest power of x is 1.
• -5x + 7 — The term with x is to the first power.
• x - 4 — Just x (which is x¹) and a number.
• 0.5x + 1 — x is to the first power, multiplied by 0.5.
• -3x — Only a term with x to the first power, no constant.

Quadratic Polynomials

A quadratic polynomial has the highest power of x as 2. Its graph is a U-shaped curve called a parabola.

• x² + 5x + 6 — The highest power of x is 2.
• 2x² - 3x + 1 — The x² term shows it’s quadratic.
• -x² + 4x - 7 — Highest power is 2, with other terms too.
• 3x² + 0.5x + 2 — The main term is x².
• x² - 9 — No x term, but x² makes it quadratic.

Cubic Polynomials

A cubic polynomial has the highest power of x as 3. Its graph can have curves and bends, more complex than linear or quadratic.

• x³ + 2x² - x + 5 — The x³ term shows it’s cubic.
• -3x³ + x² + 4x - 2 — Highest power is 3.
• 2x³ - 7x + 1 — The x³ term makes it cubic.
• x³ - x² + x - 1 — The highest power is 3.
• 4x³ + 3 — Only x³ term and a number.