Let f (x) = 2x2 +3 and g(x) = x² + 6x + 2. Which statements below are true for f(x) g(x)? Select all that apply.
(3 points)
The resulting polynomial has degree 4
The constant term is 6
3 The 25 term has a coefficient of 12
The leading term is 2x4
The 2 term has a coefficient of -1
The 2 has a coefficient of 1
The resulting polynomial has degree 4: True (since the highest power of x in f(x)g(x) is x^4).
The constant term is 6: False (the constant term is 2 in f(x)g(x)).
The 25 term has a coefficient of 12: False (there is no 25 term in f(x)g(x)).
The leading term is 2x^4: True (the leading term is 2x^4 in f(x)g(x)).
The 2 term has a coefficient of -1: False (the coefficient of the 2 term is 6 in f(x)g(x)).
The 2 has a coefficient of 1: False (the coefficient of the 2 term is 6 in f(x)g(x)).
Therefore, the statements "The resulting polynomial has degree 4" and "The leading term is 2x^4" are true.