SOLUTION: (2x+5)(x2-x+3) I can't help my daughter with this. The 3 things on the right are confusing her.

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Question 738516: (2x+5)(x2-x+3)
I can't help my daughter with this. The 3 things on the right are confusing her.

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You very likely mean this expression:
%282x%2B5%29%28x%5E2-x%2B3%29
which are two polynomials shown combined by multiplication.

Try doing two things, in this order:

-*- Rewrite both polynomials as sum of terms instead of showing any "subtractions".
The first polynomial is already shown as only sums, so just adjust the trinomial.
x%5E2-x%2B3=x%5E2%2B%28-x%29%2B3

-*-Use the lattice method and perform each separate multiplication and then combine like terms through their sums, and then show the entire sum. You CAN simply use distributive property instead and do steps in a sequence of rows, but unclear what method your daughter will want or is required to use. I suggest a lattice method so that YOU may be more comfortable in helping her.
Form this table and fill in each separate multiplication.
_________x^2___________-1*x_____________x+3
_____
2x
_____
5


The resulting table will be this:
_________x%5E2___________-1%2Ax_____________x%2B3
_____
2x_____2x%5E3___________-2x%5E2___________2x%5E2%2B6x
_____
5_____5x%5E2____________-5x_____________5x%2B15

Now you want the SUM of those six separate multiplications.
You will need to know how to simplify this,
2x%5E3%2B%28-2x%5E2%29%2B2x%5E2%2B6x%2B5x%5E2%2B%28-5x%29%2B5x%2B15.