Math 3 EOC - Numbers/Quantity/Algebra

Front

What are the roots of the polynomial function y = (x + 2)(x - 7)^3?

Back

-2, 7 (multiplicity 3)

Front

Which root has even multiplicity in the polynomial function?

Back

1

Front

When dividing (9x^4 - 45x^3 + 37x^2 + x + 2) by (x - 2), what is the remainder?

Back

-64

Front

Is (x - 3) a factor of (x^3 - 3x^2 + 2x + 2)?

Back

No

Front

Find all the real zeros of the function f(x) = 2x^3 - 19x^2 + 38x + 24 given that x - 4 is a factor.

Back

x = 4, -1/2, 6

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the degree of a polynomial?

Back

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

Front

What does it mean for a root to have multiplicity?

Back

Multiplicity refers to the number of times a particular root appears in a polynomial equation.

Front

How do you determine if a polynomial has a factor?

Back

A polynomial has a factor if the remainder is zero when divided by that factor.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).