SOLUTION: How to find the leading coefficient of this polynomial: H(x) = (2x+6)(x-3)^2(x+1)^3 x-int: (-3,0),(3,0),(-1,0) y-int: (0,54) I know the degree is 6 by adding the exponent

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How to find the leading coefficient of this polynomial: H(x) = (2x+6)(x-3)^2(x+1)^3 x-int: (-3,0),(3,0),(-1,0) y-int: (0,54) I know the degree is 6 by adding the exponent      Log On


   



Question 916912: How to find the leading coefficient of this polynomial:
H(x) = (2x+6)(x-3)^2(x+1)^3
x-int: (-3,0),(3,0),(-1,0)
y-int: (0,54)
I know the degree is 6 by adding the exponents, right?
But how do I find the leading coefficient?
Please help
Thank you

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
One term of x%5E6 will occur when you multiply to get the product; no other terms of x%5E6 will occur, so you can find this leading term separately from the other terms containing x.

2x%2Ax%5E2%2Ax%5E3 will be the term with this degree of 6.