Math 3 wk 2

Front

What is the solution of the equation x² = 8x - 1?

Back

The solutions can be found by rearranging the equation to x² - 8x + 1 = 0 and using the quadratic formula.

Front

What is the standard form of the polynomial 9x² + 5x + 27 + 2x³?

Back

The standard form is 2x³ + 9x² + 5x + 27.

Front

Which value for k would make x² + kx + 49/64 = 0 a perfect square trinomial?

Back

The value of k that makes it a perfect square trinomial is 7/4.

Front

If the nth differences of a table of values are constant, what does that indicate?

Back

It indicates that the relationship is quadratic, and the constant value of the nth differences is 12.

Front

What is the solution of 2x² - 8x + 3 = 0 using the quadratic formula?

Back

The solutions can be found using the quadratic formula x = [8 ± √(64 - 24)] / 4.

Front

What is the quadratic formula?

Back

The quadratic formula is x = [-b ± √(b² - 4ac)] / 2a.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

Front

How do you determine if a quadratic equation has real solutions?

Back

Check the discriminant (b² - 4ac); if it is non-negative, the equation has real solutions.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial.

Front

What is the significance of constant nth differences in sequences?

Back

Constant nth differences indicate that the sequence can be modeled by a polynomial of degree equal to the order of the differences.