Polynomial Functions Quiz

What is the degree of the polynomial function f(x) = 3x^4 + 2x^2 - 5?

• 5

• 3

• 4

• 2

Define a polynomial function.

• A polynomial function is a function that always has a constant value.

• A polynomial function is a function that involves only one variable.

• 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

• A polynomial function is a function that can only be expressed as a linear equation.

What is the leading coefficient of the polynomial g(x) = -2x^3 + 4x^2 - x + 7?

• 3

• -2

• 5

• -4

Explain the concept of roots of a polynomial function.

• The roots of a polynomial function are the values of y for which the function equals zero.

• The roots of a polynomial function are always positive numbers.

• The roots of a polynomial function are the values of x for which the function equals zero.

• The roots of a polynomial function are imaginary numbers.

Simplify the expression: (2x^2 + 3x - 1) + (4x^2 - 2x + 5)

• 6x^2 - x + 4

• 5x^2 + x + 4

• 6x^2 + x + 4

• 8x^2 + 2x + 4

What is the end behavior of a polynomial function?

• The end behavior of a polynomial function is either approaching positive infinity or negative infinity, depending on the degree and leading coefficient.

• The end behavior of a polynomial function is always zero.

• The end behavior of a polynomial function is determined by the number of terms in the function.

• The end behavior of a polynomial function oscillates between positive and negative values.

Factorize the polynomial h(x) = x^2 - 4x - 5.

• (x + 3)(x - 2)

• (x - 3)(x - 2)

• (x - 5)(x + 1)

• (x + 2)(x - 3)

What is the difference between a linear and quadratic polynomial function?

• A linear polynomial function has a degree of 2, while a quadratic polynomial function has a degree of 1.

• A linear polynomial function has a vertex, while a quadratic polynomial function does not.

• A linear polynomial function is always positive, while a quadratic polynomial function can be negative.

• The main difference is that a linear polynomial function represents a straight line, while a quadratic polynomial function represents a parabola.

Find the sum of the roots of the polynomial function p(x) = x^2 - 6x + 9.

• -6

• 9

• 3

• 6

Explain the term 'multiplicity' in relation to polynomial functions.

• Multiplicity is the same as the leading coefficient of a polynomial function.

• Multiplicity refers to the number of terms in a polynomial function.

• Multiplicity in polynomial functions refers to the number of times a specific root or zero appears in the factored form of the polynomial.

• Multiplicity is the degree of a polynomial function.