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ella [17]
1 year ago
11

Can someone help me please

Mathematics
1 answer:
grandymaker [24]1 year ago
3 0

Answer:

D. f(x) = 2x³ - 6x² - 2x + 6

Step-by-step explanation:

From the graph :

A(0 ,6) and B(1 , 0) are two points of the graph.

Then

Their coordinates must verify its equation.

The only equation that verifies those coordinates is :

f(x) = 2x³ - 6x² - 2x + 6

because :

• f(0) = 2(0)³ - 6(0)² - 2(0) + 6 = 6

• f(1) = 2(1)³ - 6(1)² - 2(1) + 6 = 2 - 6 - 2 + 6 = 0

therefore

The equation of the function of the line is :

f(x) = 2x³ - 6x² - 2x + 6

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CAN SOMEONE MULTIPLY THIS PLEASE, ITS URGENT
____ [38]

Let's factorise it :

\: {\qquad  \dashrightarrow \sf   ( {x}^{3}   -  5)(x + 3)  }

\: {\qquad  \dashrightarrow \sf    {x}^{3} (x + 3) + [-5(x + 3)]  }

Using Distributive property we get :

\: {\qquad  \dashrightarrow \sf    {x}^{3} +  {3x}^{3}   + ( - 5x - 15)  }

\: {\qquad  \dashrightarrow \sf    {x}^{3} +  {3x}^{3}   - 5x - 15 }

\: {\qquad  \dashrightarrow \sf    4{x}^{3}  - 5x - 15 }

⠀

Therefore,

\: {\qquad  \dashrightarrow \sf   ( {x}^{3}   -  5)(x + 3)   =4{x}^{3}  - 5x - 15}

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