Question is Incomplete; Complete question is given below;
What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x.
Answer:
The Complete factorized form of given equation is [tex]x((x^3+2)(3x-7))[/tex].
Step-by-step explanation:
Given:
[tex]3x^5-7x^4+6x^2-14x[/tex]
We need to factorize the above equation:
Solution:
On Solving the above equation we get;
Step 1:
First we will take a common factor which is 'x' so the equation will become as;
[tex]x(3x^4-7x^3+6x-14)[/tex]
Step 2:
Now we will Rewrite the above equation so as to factorize the same we get;
[tex]x(3x^4+6x-7x^3-14)[/tex]
Step 3:
Now we take [tex]3x[/tex] common factor from first 2 terms we get;
[tex]x(3x(x^3+2)-7x^3-14)[/tex]
Step 4:
Now we will take 7 as common factor from last 2 terms we get;
[tex]x(3x(x^3+2)-7(x^3+2))[/tex]
Step 5:
Now we can see the common factor between the 2 terms is [tex]x^3+2[/tex];
[tex]x((3x-7)(x^3+2))[/tex]
Hence The Complete factorized form of given equation is [tex]x((x^3+2)(3x-7))[/tex].
