Respuesta :

MrRoyal

The constants of a polynomial is the term that has no variable attached to it.

The constant term

To determine the constant, we simply multiply the constant term in each factor of the polynomial.

So, we have:

Polynomial P(x) = (x-2)(x-4)(x-5)

[tex]Constant = -2 \times -4 \times -5[/tex]

[tex]Constant = -40[/tex]

Hence, the constant is -40

Polynomial P(x) = (x-2)(x-4)(x+5)

[tex]Constant = -2 \times -4 \times 5[/tex]

[tex]Constant = 40[/tex]

Hence, the constant is 40

Polynomial P(x) =1/2(x-2)(x-4)(x+5)

[tex]Constant = \frac 12 \times -2 \times -4 \times 5[/tex]

[tex]Constant = 20[/tex]

Hence, the constant is 20

Polynomial P(x) = 5(x-2)(x-4)(x+5)

[tex]Constant = 5 \times -2 \times -4 \times 5[/tex]

[tex]Constant = 200[/tex]

Hence, the constant is 200

P(x) =-5(x-2)(x-4)(x+5)

[tex]Constant = -5 \times -2 \times -4 \times 5[/tex]

[tex]Constant = -200[/tex]

Hence, the constant is -200

Read more about polynomials at:

https://brainly.com/question/2833285

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