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Algebra
Question

1. A 4th degree polynomial has zeros \( - 5,3 , \)...

1. A 4th degree polynomial has zeros \( - 5,3 , \) , and \( - 1 \) . Which graph could represent the function defincd by this polynomial? 

A. \( 1 \) B. \( 2 \) C. \( 3 \) D. \( 4\) 

2. Let \( p ( x ) \) be a polynomial with \( 4 , ( x - 1 ) , ( 3 - x ) \) , and \( ( x ^ { 2 } - 2 ) \) as four of its factors. Select each statement that is true for all such polynomials \( p ( x ) \) . 

A. The polynomial \( p ( x ) \) must have \( 0 \) as a zero. 

\( B \) . The polynomial \( p ( x ) \) must have \( 1 \) as a zero. 

\( C \) . The polynomial \( p ( x ) \) must have \( 2 \) as a zero. 

\( D \) . The polynomial \( p ( x ) \) must have \( 3 \) as a zero. 

\( E \) . The polynomial \( p ( x ) \) must have \( 4 \) as a zero. 

\(3 \) Which of the following functions has the same end behavior as the graph shown below? 

A. \( f ( x ) = 5 x ^ { 3 } + x ^ { 2 } - 15 \) 

B. \( f ( x ) = 3 x ^ { 4 } + 12 x ^ { 3 } + 8 x ^ { 2 } + 60 \) 

C. \( f ( x ) = - 8 x ^ { 3 } + x - 18 \) 

D. \( f ( x ) = x ^ { 2 } + 10 x + 25\) 

Answer

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Solution
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