Chapter 2: Power, Polynomial, and Rational Functions

Solve the equation  $\left(y^4+2y-6\right)^{\frac{1}{4}}=y$ 

• None is correct 

• 3

• 3, 9

• -3

Solve $x=\sqrt{6x-5}$  

• 5

• 5, 1

• 5, 2

• 2

 $Graph\ f\left(x\right)=\frac{2}{5}x^3$  

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Use a graphing calculator to write a polynomial function to model the set of data.

• 0.9x - 1.3

• 1.3x - 0.9

• 0.9x + 1.3

• 1.3x + 0.9

Graph f(x) = −2(x − 4)⁵ + 1

• 
• 
• 
• 

Describe the end behavior of f(x) = −3x² + 5x³ + 2x using limits. Explain your reasoning using the leading term test.

• Because the degree is even and the leading coefficient is positive, limit of f(x) as x approaches -ve inf. equals +ve inf. and limit of f(x) as x approaches +ve inf. equals +ve inf.

• Because the degree is odd and the leading coefficient is negative, limit of f(x) as x approaches -ve inf. equals +ve inf. and limit of f(x) as x approaches +ve inf. equals -ve inf.

• Because the degree is odd and the leading coefficient is positive, limit of f(x) as x approaches -ve inf. equals -ve inf. and limit of f(x) as x approaches +ve inf. equals +ve inf.

• Because the degree is even and the leading coefficient is negative, limit of f(x) as x approaches -ve inf. equals -ve inf. and limit of f(x) as x approaches +ve inf. equals -ve inf.

Use the Remainder Theorem to find the remainder for the division of

(x⁴ - 3x² + 2x - 1) ÷ (x - 1). The remainder is ____.

• 2

• 1

• 0

• -1

Factor 5x³ + 26x² + 16x − 32 completely using long division if (x + 4) is a factor.

• (x + 4)(x − 2)(5x + 4)

• (x + 4)(x − 4)(x + 10)

• (x + 4)(x + 2)(5x − 4)

• (x + 4)(5x² + 46x + 168)

Divide 5x³ + 23x² − 8x + 8 by x + 5.

• $x^2-4x+4-\frac{6}{x+5}$

• $5x^2+2x-4-\frac{3}{x+5}$

• $5x^2-2x+2-\frac{2}{x+5}$

• $5x^2-8x+6-\frac{4}{x+5}$

Write a polynomial equation of least degree with roots -1, 2i, and -2i.

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  $3x+x^2+4x-4=0$
  

• $x^3+x^2+4x+4=0$

• $x^3-x^2+4x+4=0$

• $x^3+x^2-4x+4=0$