2. CBQ - Type of polynomial

A polynomial factory produces various types of polynomials. Here’s a list of polynomials produced during a particular shift. Each polynomial is sent to a quality check station, where students must identify its degree, type, and leading coefficient. The best analyzers are promoted to Chief Polynomial Inspectors, and their names are displayed on the factory's wall of fame.

 

​$\begin{array}{l}{7x}^4-3x^2+1,2x-9,x^3+{\mathit{5x}}^2-2x+7,\frac{1}{2}{x}^2+4x-6,10,x^5-1,\\ \sqrt{3}{x}^2-8x,{-x}^3+6x,\frac{x^4}{2}+\frac{x}{3}-5,15x\end{array}$

 

 

Questions:

 

1. How many polynomials are quadratic?

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• \(5\)
• \(4\)
• \(2\)
• \(3\)

 

2. How many polynomials are monomials?

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• \(2\)
• \(1\)
• \(4\)
• \(3\)

 

3. What is the degree of the polynomial \(x^{3}+5x^{2}-2x+7\) ?

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• \(3\)
• \(4\)
• \(2\)
• \(1\)

 

4. Which of the following is a binomial with a degree of \(1\) ?

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• \(2x-9\)
• \(7x^{4}-3x^{2}+1\)
• \(10\)
• \(\frac{1}{2}x^{2}+4x-6\)

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