Question

Sorry for asking too many questions yall but I really need help. just a few more thank you!

Answer 1

the answer for your first question is :
${2x}^{5} + {12x}^{4}$
the answer for your second question is :
${ - 6x}^{4} + {4x}^{3}$
and another answer is correct for question 2 :
f (0) . g (2) = 32

Answer 2

f(x).g(x) = (x²+6x).(2x³) = (x²).2x³ + (6x).(2x³) ... by distributive property
                                    = 2x⁵+12x⁴

f(x).g(x) = (-3x+2).(2x³) = (2x³).(-3x) + (2).(2x³) 
                                     =  -6x⁴+4x³

To find f(1), f(0), g(0)and g(2),
plug x=1 and x=0 in f(x) to find f(1) and f(0) and plug x=0 and x=2 in g(x) to find g(0) and g(2)
∴f(0) = 2 and g(2) = 2(2³) = 16
∴f(0).g(2) = 2×16 = 32

f(1)= -1 and g(0) = 0
∴f(1).g(0) = 0