Question

Classify the following polynomials as linear, quadratic or cubic.
(1) p(x) = x² + 27
(2) p(x) = 2010x + 2009
(3) p(x) = 4x² + 7x³ + 3
(4) P(x) = (x — 1) (x + 1)

Answer 1

Answer:

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Answer 2

Quadratic, linear, cubic, quadratic

Step-by-step explanation:

A linear is an equation between two variables that gives a straight line when plotted on a graph. Example: y = ax + b

A quadratic equation is any equation having the form where x represents an unknown, and a, b, and c represent known numbers, with a ≠ 0.

Example: ax² + bx +c = 0

A cubic equation is an equation having the form where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0.  

Example: ax³ +bx² +cx +d =0

From the above information, we can classify the following algebraic equations.

1. p(x) = x² + 27 is a quadratic equation.
2. p(x) = 2010x + 2009 is a linear equation.
3. p(x) = 4x² + 7x³ + 3 is a cubic equation.
4. P(x) = (x — 1) (x + 1) is a quadratic equation.