DANIEL S -Math 3 wk 2

Front

What is the end behavior of the polynomial function -6x^7 + 4x^2 - 3?

Back

The end behavior is down on the left and up on the right.

Front

What are the solutions of the equation x^2 = 8x - 1?

Back

The solutions are x = 4 ± √17.

Front

How do you solve the equation 2x^2 - 8x + 3 = 0 using the quadratic formula?

Back

x = [8 ± √(64 - 24)] / 4 = [8 ± √40] / 4 = 2 ± √10.

Front

Which expression is a binomial?

Back

x - 9 is a binomial.

Front

What is the discriminant of the equation 3x^2 - 7x + 1 = 0?

Back

The discriminant is 37.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + 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 the polynomial -6x^7 + 4x^2 - 3?

Back

The degree is 7.

Front

What does the leading coefficient of a polynomial indicate about its end behavior?

Back

If the leading coefficient is positive, the polynomial rises to the right; if negative, it falls to the right.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

How do you find the roots of a quadratic equation?

Back

You can find the roots using the quadratic formula: x = [-b ± √(b^2 - 4ac)] / 2a.