+349 Determine all of the following for f(x) \cdot g(x), where f(x) = -7x^4-3x^2 + 2 and g(x) = 2x^8 - 3x^7 + 5x^6 + 3x^5 - 11x^4 + 3x^3 - 18x^2 + 17x - 5.
Leading term:
Leading coefficient:
Degree:
Constant term:
Coefficient of x^6:
+28 To find the leading term you multiply the leading term of the functions. (-7x^4)(2x^8)=(-7)(2)(x^4)(x^8)=-14x^12
Leading term:-14x^12
The leading coefficient is -14 since that is the coefficient of the leading term
Leading coefficient: -14
Degree:12
To get the constant term you multiply -5 and 2 because they are the 2 constants
Constant term: -10
To find the coefficient of x^6 we multiply
(-7x^4)(18x^2)=-126x^6
(-3x^2)(-11x^4)=33x^6
(2)(5x^6)=10x^6
-126+33+10=-83
Coefficient of x^6: -83
