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Home Question Bank Math Algebra Archive 2024 November 20

Algebra Questions from Nov 20,2024

Browse the Algebra Q&A Archive for Nov 20,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Your Polynomial Equation: \( f(x)=2 x^{4}-2 x^{3}-7 x^{2}-2 x+8 \) Classification of Your Birthday Polynomial's Degree: 4, quartic Classification of Your Birthday Polynomial's Terms: 5 \( 2 x^{4},-2 x^{3},-7 x^{2},-2 x, 8 \) What are the zero(s)/x-intercept(s) of your Birthday Polynomial? \( f(0)=2(0)^{4}-2(0)^{3}-7(0)^{2}-2(0)+8 \) What is the \( y \)-intercept of your Birthday Polynomial? \( y=8 \) How many turning points does your Birthday Polynomial have? What is the end behavior of your Birthday Polynomial? What are the relative maximums of your Birthday Polynomials? What are the relative Minimums of your Birthday Polynomials? Solve for all values of \( x \) \[ \frac{1}{x+7}+\frac{x}{x-7}=\frac{7}{x-7} \] Classification of Your Birthday Polynomial's Degree: 4 , quartic Polynomial Classification of Your Birthday Polynomial's Terms: 5 \[ \begin{array}{l}2 x^{4}-2 x^{3} \\ \text { What are the zero(s)/x-intercept(s) of your Birthday Polynomial? } \\ f(0)=2(0)^{4}-2(0)^{3}-7(0)^{2}-2(0)+8\end{array} \] What is the \( y \)-intercept of your Birthday Polynomial? \( y=8 \) How many turning points does your Birthday Polynomial have? What is the end behavior of your Birthday Polynomial? What are the relative maximums of your Birthday Polynomials? What are the relative Minimums of your Birthday Polynomials? Wver what intervals is your Birthday Polynomial increasing? Let \( R \) be an integral domain. Which of the following is true? Select one: \( R \) is an empty set \( R \) is finite \( R \) is a field \( R \) has no zero divisors \( -\left[\begin{array}{l}2 x+y=-1 \\ x-y=-2\end{array}\right. \) por sumas y restas Which of the following is not a special integral domain? Select one: Ring of integers Field Ring of polynomials Vector space Your Polynomial Equation: \( f(x)=2 x^{4}-2 x^{3}-7 x^{2}-2 x+8 \) Solve for all values of x \[ x-\frac{x+3}{x-3}=\frac{2}{x-3} \] a) \( \left\{\begin{array}{l}2 x+y=-1 \\ x-y=-2\end{array}\right. \) por sumas y restas Solve the following logarithmic equation. \( 2 \log _{4}(x-9)+\log _{4} 4=2 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \} \). (Simplify your answer. Type an exact answer. Use a comma to separate answers as needed.) B. There is no solution.
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