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fiasKO [112]
3 years ago
10

Consider that the roots of a cubic equation with integral coefficients are 2, −1, and 4. Which choice is the cubic equation?

Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

The cubic equation having roots 2, -1 and 4 is x^3-5x^2+2x+8

Step-by-step explanation:

The roots of the cubic equation are 2,-1 and 4. We need to find the cubic equation.

If 2,-1 and 4 are roots then:

x=2, x=-1 and x=4

or we can write:

x-2=0, x+1=0 and x-4=0

Multiplying the roots to find the cubic equation:

(x-2)(x+1)(x-4)\\=(x-2)(x(x-4)+1(x-4))\\=(x-2)(x^2-4x+x-4)\\=(x-2)(x^2-3x-4)\\=x(x^2-3x-4)-2(x^2-3x-4)\\=x^3-3x^2-4x-2x^2+6x+8\\Combining\,\,like\,\,terms:\\=x^3-3x^2-2x^2-4x+6x+8\\=x^3-5x^2+2x+8

So, the cubic equation having roots 2, -1 and 4 is x^3-5x^2+2x+8

Keywords: Solving Cubic Polynomial

Learn more about Solving Cubic Polynomial at:

  • brainly.com/question/1560475
  • brainly.com/question/2568692
  • brainly.com/question/1464739

#learnwithBrainly

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AURORKA [14]
You can calculate it using the law of cosines: c^2=a^2+b^2-2*a*b*cos(C)

your triangle is
CD=15=a
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and C=90°

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3 years ago
I JUST WANNA PASS MY SOPHOMORE YEAR BUT I SUCK AT MATH!!!!! PLEASE HELP!!!!!!
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Mr. Sanchez's class: 1.65p

Mr. Kelly's class: 1.36j

where p = fruit pies and j = fruit juice

____________________________________________________________

(a) Creating a system of equations

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are your system of equations

____________________________________________________________

(a) Solving the system of equations for p and j

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____________________________________________________________

Plug p into the second equation.

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Distribute 1.65 inside the parentheses.

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____________________________________________________________

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Now plug in p and j into Mr. Sanchez's class and Mr. Kelly's class equations (at the top).

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____________________________________________________________

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Subtract 57.12 from 61.05.

61.05 - 57.12 = 3.93

____________________________________________________________

(a)

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1.65p + 1.36j = 118.17

(b)

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(c)

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