anonymous 4 years ago Polynomials (Question in image)

1. anonymous

2. anonymous

First, substitute 5 for x in the 2 equations: $$\ \Huge (5)+6; 9(5)+6).$$

3. anonymous

4. anonymous

yes

5. anonymous

wouldn't it be easier to multiply with x; create the polynomial, then substitute?

6. anonymous

Perhaps, but there is less room for error using this method. I'll show you how find the polynomial, as well. Now, the Volume is Height x Width x Length: So the volume is: $\ 8\times11\times51= Volume$

7. anonymous

Okay..

8. anonymous

Now, The Easiest Way to Multiply is to Use a Table, to Foil the two polynomials: |dw:1338768144332:dw|

9. anonymous

So, That gives us $$\ \Huge 9x^2+60x+36$$. There's also an $$\ \Huge 8$$, so $$\ \Huge 8(9x^2+60x+36)$$. You can factor a three out of the parenthesis, because 3 is a factor of all three terms. That gives you for a final answer: $$\ \Huge 24(3x^2+20x+12).$$ Did you understand that?

10. anonymous

Now, you would substitute 5 in for x, getting your final volume.

11. anonymous

why 60?

12. anonymous

oh, i see.

13. anonymous

awesome, thanks a ton!

14. anonymous