zeesharpe05

zeesharpe05

05.05.2020 •

Mathematics

Which even definition corresponds to exactly one outcome of the experiment?

Which even definition corresponds to exactly one outcome of the experiment?

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Ответ:

jaksmmwlqlzm

03.03.2020

ANSWER TO QUESTION 1

Given

f(x)=5x^3+8x^2-7x-6

We can use the factor theorem to determine if

x+2 is a factor of the polynomial or not.

According to this theorem, if x+2 is a factor of f(x) , then f(-2)=0 .

How did we get the ?

We set x+2=0 and then solve to obtain x=-2 .

So now let us plug in x=-2 in to the function to see if it will simplify to zero.

f(-2)=5(-2)^3+8(-2)^2-7(-2)-6

f(-2)=5(-8)+8(4)+7(2)-6

f(-2)=-40+32+14-6

f(-2)=6-6

f(-2)=0

Since the result simplifies to zero, we conclude that

x+2 is a factor of

f(x)=5x^3+8x^2-7x-6

ANSWER TO QUESTION 2

We have the function,

f(x)=5x^3+8x^2-7x-6

We can use the remainder theorem to show that

x+1 is NOT a factor of the polynomial.

According to this theorem, if x+1 is not a factor of f(x) , then $f(-1)\ne 0$ .

So now let us plug in x=-1 in to the function to see if it will simplify to non-zero number.

f(-1)=5(-1)^3+8(-1)^2-7(-1)-6

f(-1)=5(-1)+8(1)+7(1)-6

f(-1)=-5+8+7-6

f(-1)=4

$f(-1)\ne0$

Since the result simplifies to a non zero number, we conclude that

x+1 is NOT a factor of

f(x)=5x^3+8x^2-7x-6

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