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Polynomial Arithmetic

From profit/cost models to the flight of a baseball to approximating the motion of a wave, polynomials are a mathematical way to represent values which are sums of powers of variables.

Simplifying Polynomials Warmup

         

What is the value of this expression?

\(\frac{x}{4}\times\frac{3}{x}\times\frac{2}{y}\times\frac{y}{3}\times\frac{4}{7}\)

If \(a(3x^2 - 4x + 2) = -6x^2 + 8x - 4,\) what is the value of \(a?\)

What is the quotient?

\((-4x^3 + 8x^2 - 20x) \div (-4x)\)

The perimeter of a rectangle is \(18x + 2.\) If the rectangle's length is \(6x + 2,\) what is the width?

Which expression is not equivalent to \((3x^3y^3)^3?\)

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