Quadratic Equations

Quadratic Equations Warmup


If (x+4)(3x1)=ax2+bx+c,(x + 4)(3x - 1) = ax^2 + bx + c, what is the value of a+b+c?a + b + c?

The area of a rectangle can be expressed as (2x2+11x21).(2x^2 + 11x - 21). If the width of the rectangle is (x+7),(x + 7), which expression could represent the length?

If bx2+32x=4x(xa),bx^2 + 32x = 4x(x - a), what is the value of ab?ab\, ?

The Smith family has 2,581ft22,581 \text{ft}^2 available in their rectangular backyard to put in a swimming pool. They plan to use the entire space. If the pool will have dimensions of 20ft20 \text{ft} by 80ft80 \text{ft}, and they want a patio of equal width around the pool, what will be the width of the patio, in feet?

What is the maximum possible area for the rectangle shown?


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