Question $ 18 $ The polynomial of degree \( 3 , ...

Question

$Question $ 18 $ The polynomial of degree \( 3 , ...$

Question $ 18 $ The polynomial of degree $ 3 , P ( x ) $ , has a root of multiplicity

$ 2 $ at $ x = 2 $ and a root of multiplicity $ 1 $ at $ x = - 5 $ . The $ y $ - intercept is $ y = - 10 $ . Find a formula for $ P ( x ) $ .

$ P ( x ) = \square $ Question Help: $ \square $ Video Submit Question

Answer

p(x) = ($\frac{- 1}{2}$)(x-2)$^{2}$(x+5)

Solution

View full explanation on CameraMath App.

Related Questions

It takes $ 8 $ minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes $ 5 $ minutes to fill the pool. Which equation can be used to determine r; the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone?

$ \frac { 5 } { 8 } + 5 r = 8 $

$ \frac { 5 } { 8 } + 5 r = 1 $

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$ \frac { 5 } { 8 } = 5 r$

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Mike and Jamal are $ 9 $ miles apart, and are planning to meet up. Mike is walking at an average speed of $ 3 $ miles per hour to meet Jamal. Jamal is driving at an average speed of $ 25 $ miles per hour to meet Mike.

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$ 25 t + 3 t = 9$

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Ali's latest photo got $ 42 $ likes. This is $ 3 $ times as many likes as Kate's latest photo. How many likes did Kate's photo get? Select the correct solution method below, using $ x $ to represent Kate's likes.

A. $ 3 x = 42 $ . Divide both sides by $ 3 $ . Kate's photo got $ 14 $ likes.

B. $ \frac { x } { 3 } = 42 $ . Multiply both sides by $ 3 $ . Kate's photo got $ 126 $ likes.

C. $ x + 3 = 42 $ . Subtract $ 3 $ from both sides. Kate's photo got $ 39 $ likes.

D. $ x - 3 = 42 $ . Add $ 3 $ to both sides. Kate's photo got $ 45 $ likes.

A: See Answer #Algebra

A. $ 3 x = 42 $ . Divide both sides by $ 3 $ . Kate's photo got $ 14 $ likes.

B. $ \frac { x } { 3 } = 42 $ . Multiply both sides by $ 3 $ . Kate's photo got $ 126 $ likes.

C. $ x + 3 = 42 $ . Subtract $ 3 $ from both sides. Kate's photo got $ 39 $ likes.

D. $ x - 3 = 42 $ . Add $ 3 $ to both sides. Kate's photo got $ 45 $ likes.

A: See Answer #Algebra

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