3.2-3.4 Flashcard Review Algebra 2

Front

What is the result of (4 - 2i) - (3 + 6i)?

Back

1 - 8i

Front

Is x^2 + 18x + 9 a perfect square trinomial?

Back

No

Front

What is the result of (3 + 8i)(-2 - i)?

Back

2 - 19i

Front

What do you do to the b value to correctly complete the square?

Back

Divide it by 2 and square the result.

Front

If the discriminant is zero, how many real solutions will there be?

Back

1 real solution.

Front

What is a complex number?

Back

A number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the formula for the discriminant in a quadratic equation?

Back

D = b^2 - 4ac.

Front

What does it mean if the discriminant is positive?

Back

There are two distinct real solutions.

Front

What does it mean if the discriminant is negative?

Back

There are no real solutions, only complex solutions.

Front

How do you find the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

The vertex can be found at x = -b/(2a).