First 15 Nov 13

Front

What is the result of multiplying the complex numbers (4 – 3i) and (-7 – 2i)?

Back

-34 + 13i

Front

How do you find the intersection points of the equations y = x^2 - 4x + 6 and y = x + 2?

Back

Set the equations equal to each other and solve for x: (1, 3) and (4, 6).

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as x^2 + 16x + 64.

Front

How do you factor the expression x^2 + 18x + 81?

Back

It factors to (x + 9)^2.

Front

What is the method to solve a system of linear and quadratic equations?

Back

Substitute the linear equation into the quadratic equation and solve for the variable.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c.

Front

What does the discriminant of a quadratic equation tell you?

Back

The discriminant (b^2 - 4ac) indicates the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

If the coefficient 'a' in y = ax^2 + bx + c is positive, it opens upwards; if negative, it opens downwards.

Front

What is the formula for the roots of a quadratic equation?

Back

The roots can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).