SOLUTION: Write this polynomial in standard form. What is the leading coefficient? (t-3)(4t-1)(3t-7) I need to know how to do it step by step so please show all work.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write this polynomial in standard form. What is the leading coefficient? (t-3)(4t-1)(3t-7) I need to know how to do it step by step so please show all work.      Log On


   

Question 597396: Write this polynomial in standard form. What is the leading coefficient? (t-3)(4t-1)(3t-7) I need to know how to do it step by step so please show all work.
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
.
%28t-3%29%284t-1%29%283t-7%29
.
Multiply the last two factors together using the distributive property.

%284t-1%29%283t-7%29=%2812t%5E2%29%2B%28-28t%29%2B%28-3t%29%2B%287%29
%284t-1%29%283t-7%29=12t%5E2-28t-3t%2B7
%284t-1%29%283t-7%29=12t%5E2-31t%2B7
.
Now use the distributive property to multiply %28t-3%29%2812t%5E2-31t%2B7%29.


%28t-3%29%2812t%5E2-31t%2B7%29=12t%5E3-31t%5E2%2B7t-36t%5E2%2B93t-21
%28t-3%29%2812t%5E2-31t%2B7%29=12t%5E3-67t%5E2%2B100t-21
.
The polynomial in standard form is 12t%5E3-67t%5E2%2B100t-21.
The leading coefficient is 12.
.
Good luck!
Ms.Figgy
math.in.the.vortex@gmail.com