pablobegins Group Title Polynomials (Question in image) 2 years ago 2 years ago

1. pablobegins Group Title

2. Study23 Group Title

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

3. Study23 Group Title

4. pablobegins Group Title

yes

5. pablobegins Group Title

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

6. Study23 Group Title

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. pablobegins Group Title

Okay..

8. Study23 Group Title

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

9. Study23 Group Title

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. Study23 Group Title

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

11. pablobegins Group Title

why 60?

12. pablobegins Group Title

oh, i see.

13. pablobegins Group Title

awesome, thanks a ton!

14. Study23 Group Title