Math 3 wk 2

Front

Which value completes the square for x² - 3x?

Back

9/4

Front

If the nth differences of a table of values are constant, what is the constant value?

Back

12

Front

What are the solutions of the equation 2x² + 16x + 28 = 0?

Back

x = -4 ± √(4) = -4 ± 2i (complex solutions)

Front

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

Back

2x³ + 9x² + 5x + 27

Front

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

Back

7/4

Front

What is the formula for completing the square for a quadratic equation ax² + bx + c?

Back

(x + b/2a)² - (b² - 4ac)/4a

Front

What is the definition of a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial, e.g., (x + a)² = x² + 2ax + a².

Front

How do you find the nth differences in a sequence of numbers?

Back

Subtract consecutive terms to find the first differences, then subtract consecutive first differences to find the second differences, and so on.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

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 degree.