Quadratics warm up

Front

What is the formula for the area of a rectangle?

Back

Area = Length × Width

Front

If the length of a rectangle is expressed as (x + 6) and the width as (2x - 1), what is the area function?

Back

f(x) = 2x^2 + 11x - 6

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 from the highest exponent to the lowest.

Front

What is the expanded form of (x - 8)^2?

Back

x^2 - 16x + 64

Front

How do you find the increase in area when the dimensions of a rectangle are extended?

Back

Calculate the area of the new rectangle and subtract the area of the original rectangle.

Front

What is the area of a rectangle with length (x + 7) and width (x + 5)?

Back

Area = (x + 7)(x + 5) = x^2 + 12x + 35

Front

What is the expression for the area increase when a rectangle is extended by 2 inches on each side?

Back

4x + 28

Front

What is the significance of the highest exponent in a polynomial?

Back

The highest exponent determines the degree of the polynomial.

Front

What is the area function for a rectangular garden represented by the equation A = 2x^2 + x?

Back

This represents the area in terms of the variable x.

Front

What is the result of multiplying (x + 3)(x + 2)?

Back

x^2 + 5x + 6