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
O the x2 term has a coefficient of -1
O the x has a coefficient of 1
O the leading term is 2x4
O the x3 term had a coefficient of 12
O the resulting polynomial has degree 4
O the constant term is 6
The correct statements are:
- The x2 term has a coefficient of -1
- The leading term is 2x4
- The constant term is 6
please double check
After multiplying f(x) and g(x), we get:
f(x) • g(x) = (2x^2 + 3)(-x^2 + 6x + 2)
= -2x^4 + 12x^3 + 4x^2 - 3x^2 + 18x + 6
= -2x^4 + 12x^3 + x^2 + 18x + 6
So, the correct statements are:
- The x has a coefficient of 1
- The resulting polynomial has degree 4
- The constant term is 6
check one more time
I apologize for the error in my previous responses. Let's multiply f(x) and g(x) again to get the correct polynomial.
f(x) = 2x^2 + 3
g(x) = -x^2 + 6x + 2
f(x) • g(x) = (2x^2 + 3)(-x^2 + 6x + 2)
= -2x^4 + 12x^3 + 4x^2 - 3x^2 + 18x + 6
= -2x^4 + 12x^3 + x^2 + 18x + 6
The correct statements for f(x) • g(x) are:
- The x2 term has a coefficient of 1
- The resulting polynomial has degree 4
- The constant term is 6
you keep changing your answer, what is your final answers?
I apologize for the confusion. After recalculating, the correct statements for f(x) • g(x) are:
- The x2 term has a coefficient of 1
- The resulting polynomial has degree 4
- The constant term is 6
Thank you for your patience, and I appreciate the opportunity to correct the error.