Question

classify the polynomial as a monomial, binomial, trinomial, or none of these. also, give the degree.
$x^2 - 4x + 4$

choose the correct type of polynomial.

• trinomial
• binomial
• monomial
• none of these

what is the degree of the polynomial?
the degree is \boxed{}.

Explanation:

Step1: Recall the definition of the degree of a polynomial

The degree of a polynomial is the highest power (exponent) of the variable in the polynomial.

Step2: Identify the powers of the variable in the given polynomial

For the polynomial \(x^{2}-4x + 4\), the terms are \(x^{2}\) (with exponent 2), \(- 4x\) (with exponent 1), and \(4\) (with exponent 0, since \(4 = 4x^{0}\)).

Step3: Determine the highest power

Among the exponents 2, 1, and 0, the highest one is 2.

Answer:

2