Question

3x5 – 7x4 + 6x2 – 14x

Answer 1

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 $x((x^3+2)(3x-7))$.

Step-by-step explanation:

Given:

$3x^5-7x^4+6x^2-14x$

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;

$x(3x^4-7x^3+6x-14)$

Step 2:

Now we will Rewrite the above equation so as to factorize the same we get;

$x(3x^4+6x-7x^3-14)$

Step 3:

Now we take $3x$ common factor from first 2 terms we get;

$x(3x(x^3+2)-7x^3-14)$

Step 4:

Now we will take 7 as common factor from last 2 terms we get;

$x(3x(x^3+2)-7(x^3+2))$

Step 5:

Now we can see the common factor between the 2 terms is $x^3+2$;

$x((3x-7)(x^3+2))$

Hence The Complete factorized form of given equation is $x((x^3+2)(3x-7))$.