Chapter 4 Algebra 2 Vocabulary Test

minimum

If a point is on a graph of a polynomial function and no other nearby points of the graph have a lesser y- coordinate, the point is a relative (maximum, minimum) of the function.

Synthetic substitution

(End behavior, Synthetic substitution) is a method for evaluating a polynomial function f(x) at a particular value of x.

relative maximum

A (relative maximum, depressed polynomial) is a turning point where the graph increases as it approaches the point and decreases as it moves away from the point.

depressed polynomial

If x^3+3x^2-4x-12 is divided by x - 2, the quotient will be x^2+5x+6 and the remainder will be 0. In this case, x^2+5x+6 is called (quadratic form, depressed polynomial).

synthetic division

A shortcut method used to divide polynomials by binomials is called (end behavior, synthetic division).

leading coefficient

The degree and (relative minimum, leading coefficient) of a polynomial function determines the graph's end behavior.

polynomial in one variable

The expression 4x^3+3x^2 -5x+6 is a(n) (polynomial identity, polynomial in one variable).

standard notation

The form we usually write in is called (standard notation, quadratic form).

simplify

To (simplify, synthetic substitute). (3x^2y^2)(-2x^2y^3) means to write it as -6x^4y^5

quadratic form

Writing the polynomial 2x^4 + 9x^2 -15 as 2(x^2) - 9 (x^2) -15 uses the idea of (leading coefficients, quadratic form)

polynomial identity

a polynomial equation that is true for any values that are substituted for the variables, without only one specific solution.

degree of a polynomial

the degree of a monomial with the greatest degree.