I factored 3.6x^6+2x^6-2.8x^2+3.2x as; 3.6x^7+2x^6-2.8x^2+3.2x However my answer is incorrect.
The correct answer should be; 0.4x(9x^6+5x^5-7x+8)
How do I get to the correct answer? So that I am able to do similar problems, because every problem that I have factored with decimals I had gotten wrong. I do not have this problem with factoring polynominals without decimals.
I think you mean
3.6x^7+2x^6-2.8x^2+3.2x
first take out (1/10) to get rid of decimals
(1/10)(36x^7+20x^6-28x^2+32x)
now take out 4x
(4x/10)(9x^6+5x^5-7x+8)
what is 4 divide by 8165 the anwser
To factor the given expression correctly, follow these steps:
Step 1: Determine the greatest common factor (GCF)
In this case, the GCF is 0.4x. To find the GCF, identify the common factors of all the terms with coefficients and x variables.
Step 2: Divide each term by the GCF
Divide each term of the expression by the GCF, which is 0.4x:
(3.6x^6 + 2x^6 - 2.8x^2 + 3.2x) ÷ 0.4x
= (9x^6 + 5x^6 - 7x^2 + 8x)
Step 3: Factor the resulting expression
Now that you have the expression without decimals, apply factoring techniques to factor the expression:
= 0.4x(9x^6 + 5x^5 - 7x + 8)
To get better at factoring expressions with decimals, practice combining like terms and finding the GCF. You can also convert decimal coefficients to fractions, which may make the factoring process easier. The more you practice, the more comfortable you will become with factoring expressions containing decimals.