Question

Let f (2) = 2x2 + 9 and g(x) = -x2 + 7x +8. Which statements below are true for f (x) . g (x)? Select all that apply.A.The constant term is 72.B.The leading term is 2x4C.The term has a coefficient 7.D.The x term has a coefficient of -7.E.The x3 term has a coefficient of 14.F.The resulting polynomial has degree 4.

Answer 1

$\begin{gathered} \\ f(x)\text{.g(x)}=(2x^2+9)(-x^2+7x+8) \\ f(x)\text{.g(x)}=-2x^4+14x^3+16x^2-9x^2+63x+72 \\ f(x)\text{.g(x)}=-2x^4+14x^3+7x^2+63x+72 \end{gathered}$$\begin{gathered} Fromthelastresult,\text{ we can s}ee\text{ that:} \\ A)\text{ yes},\text{ the constant term is 72} \\ B)no,theleadIngtermis-2x^4 \\ C)\text{ }No,\text{ its 63} \\ D)No,\text{ its }7 \\ E)\text{ yes} \\ F)\text{ yes} \end{gathered}$