Mathematics, 18.07.2019 01:30, cynayapartlow88

Which of the following represents the zeros of f(x) = x3 − 12x2 + 47x − 60?

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This actually should be reported. There are no choices. However there are ways of finding out what the zeros are and I will do that first to begin with.

The first is a bit of a cheat. My calculator will do it, so I'm just going to get the answer from it.

x can equal 3
x can be 5
x can be 4

So f(x)= a (x - 3)(x-5 )(x -4) is the basic equation. You need another point other than the zeros to determine the value of a.

Method 2
Get the graph.
I've done that below. Basically it agrees with what my calculator says.

Method 3
You could factor it, but simple factoring methods don't work with this question.

Method 4
You could do this in a method similar to a quadratic, but I can't do that. It is on my to do list to lean though.

Which of the following represents the zeros of f(x) = x3 − 12x2 + 47x − 60?

Which of the following represents the zeros of f(x) = x3 − 12x2 + 47x − 60?

answered: Becky81

x=3, 4, or 5

Step-by-step explanation:

x^3 − 12x^2 + 47x − 60=0

First we have to determine one value of x by hit and trial method for which , the above polynomial becomes 0

on trying random values of x , we sees that for x = 3 , the polynomial becomes 0

Hence (x-3) is one of the factor

Hence now let us move with the factorization part

The above polynomial can be re written as

x^2(x-3)-9x(x-3)+20(x-3)

(x-3)(x^2-9x+20)

(x-3)(x^2-5x-4x+20)

(x-3)(x(x-5)-4(x-5))

(x-3)(x-5)(x-4)

hence we have our f(x) = (x-3)(x-5)(x-4)

In order to find the zeroes we put f(x) =0

Hence

[tex](x-3)(x-5)(x-4)=0

Therefore

if (x-3)=0 , x=3

if (x-5) , x= 5

if (x-4), x=4

answered: Guest

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6 ) 4 -3 5 6

-24 162 -1002

4 -27 167 -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note: your "4x°-3x+5x+6" is ambiguous / incomplete. i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

answered: Guest

I’m going to infer you said parallel.solve for yy= -1/2x+7/4lines that are parallel have the same slope, different y intercept.so we know m is -1/2then from there solve for y intercept.