Doo 2 3 3 X 4

1. 5 X 4 3 9 X 1
2. 3x 12 2 X 3 4
3. Doo 2 3 3 X 4 X 6 4 Solution
4. Doo 2 3 3 X 4 X 6 4

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How do you use the factor theorem to determine whether x-2 is a factor of #4x^3 – 3x^2 – 8x + 4#?

2 Answers

Explanation:

the factor theorem states

#(x-a) ' is a factor of 'f(x) <=>f(a)=0#

#f(x)=4x^3-3x^2-8x+4#

#'we have ' (x-2)=>a=2#

#f(2)=4xx2^3-3xx2^2-8xx2+4#

#f(2)=4xx8-3xx4-16+4#

#f(2)=32-12-16+4# Change my voice app. Photoshop cc download apk.

#f(2)=8!=0#

#:.x-2' is not a factor of '4x^3-3x^2-8x+4#

5 X 4 3 9 X 1

however by the remainder theorem when

#f(x)=4x^3-3x^2-8x+4' is divided by '(x-2) ' the remainder is '8#

the factor theorem being a special case of the remainder theorem

Explanation:

#'if 'x-2' is a factor then 'f(2)=0#

https://jmkim.over-blog.com/2021/01/unreal-tournament-pre-alpha-season.html. #4(2)^3-3(2)^2-8(2)+4=8#

Downie 3 7 12. #'hence 'x-2' is not a factor of '4x^3-3x^2-8x+4#

Related topic

Related questions

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/4-(3/x)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

Step 2 :

Equation at the end of step 2 :

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple
The left denominator is : 4
The right denominator is : x

3x 12 2 X 3 4

Least Common Multiple:
4x

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = x
Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

Doo 2 3 3 X 4 X 6 4 Solution

3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)² and (y²+y)/(y+1)³ Yate 3 13 download free. are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

Equation at the end of step 3 :

Step 4 :

When a fraction equals zero :

Doo 2 3 3 X 4 X 6 4

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:

Now, on the left hand side, the 4x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-12 = 0

Solving a Single Variable Equation :

4.2 Solve : x-12 = 0
Add 12 to both sides of the equation :
x = 12

One solution was found :