Honors Algebra 2 - Section 4.3 Review

Front

Identify the zeros of the polynomial function: (x+2)(x+6)(x-4)

Back

x = -2, x = -6, x = 4

Front

What is the degree of the polynomial function: g(x) = 2x^5 - 7x^3 + 4x - 1?

Back

5

Front

What is the equation in factored form of this graph? f(x) = (x-4)(x-1)^2(x+2)(x+4)

Back

f(x) = (x+4)(x+1)^2(x-2)(x-4)

Front

If the graph of a function touches the x-axis at a zero, what does that mean about the multiplicity of that zero?

Back

Even

Front

What is the leading coefficient of the function: f(x) = 6x^2 + 4 - 3x^4 + 5x - 9x^3?

Back

-3

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 standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What does the leading coefficient of a polynomial indicate?

Back

The leading coefficient indicates the direction of the graph as x approaches positive or negative infinity.

Front

What is the difference between even and odd multiplicity of zeros?

Back

Even multiplicity means the graph touches the x-axis at that zero, while odd multiplicity means the graph crosses the x-axis.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros, set the polynomial equal to zero and solve for x.