could someone help me with math?

Question

Multiply the following polynomials.

(2x-6)(x^2-3x+5)

Answer 1

Hello, thank you for taking the time to post your question!

You want to distribute everything out … so I would multiply the 2x through each term on the righthand side, then do the same thing with the -6. When I do that I get

(2x – 6)(x^2 – 3x + 5)

=2x^3 – 6x^2 – 6x^2 + 10x + 18x - 30

=2x^3 – 12x^2 + 28x – 30

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Result

You entered following polynomials:

P(x)=2x−6

Q(x)=x2−3x+5

The product of polynomials P(x) and Q(x) is:

P(x)⋅Q(x)=2x3−12x2+28x−30

Explanation

To find the product we need to multiply every term of 2x−6 by every term of x2−3x+5 . The multiplication process can be divided in 3 steps.

Step 1: Multiply 2x by every term in the second polynomial:

2x⋅(x2−3x+5)=2x3−6x2+10x
Step 2: Multiply −6 by every term in the second polynomial:

−6⋅(x2−3x+5)=−6x2+18x−30
Step 3: Add everything on the right side of above equations and simplify.

2x3−6x2+10x−6x2+18x−30==2x3−12x2+28x−