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Please make 1 polynomial function meeting the criteria on the picture (MAX POINTS) (WILL MAKE VALID ANSWER BRAINLIEST) 50 pts

Please make 1 polynomial function meeting the criteria on the picture MAX POINTS WILL MAKE VALID ANSWER BRAINLIEST 50 pts class=

Respuesta :

To solve this we just need a polynomial where the roots can be -10 so in (x -/+ N)
The Ns must equal -10
We also know there must be at least a degree of 2 or higher, so we want X^3 or 3 roots. Given this we can construct our function;

H(x) = (X-2)(X+5)(X+1)
1*5*-2 = -10
So multiplying that out to get the standard form
X^2-2X+5X-10(X+1)
Simplifying to X^2 +3X-10(X+1)
X^3+3X^2-10X + X^2 +3X -10
Which simplifies to:
X^3+4X^2-7X-10

And below the desmos shows the y-int at (0,-10)
Ver imagen repthebae

y intercept at (0,-10)

We will form a cubic function

Take zeros -1,-2,-5

  • a(x+1)(x+2)(x+3)=y

Put y intercept

  • a(0+1)(0+2)(0+5)=-10
  • a(1)(2)(5)=-10
  • a(10)=-10
  • a=-1

The cubic function is

  • y=-1(x+1)(x+2)(x+3)

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