For the first one, I think it's either B or C but I'm not sure. The other ones I don't know. Please help and show work. Thank you!
If (x-7) is a factor, then when you calculate f(7) '7 ' would be sustituted in for x then (x-7 ) would be (7-7) and the function would = 0
Answer B
First one....if ( x - 7) is a factor, then 7 is a root....therefore....f(7) = 0
For the second....just substitute 3 into the polynomial and evaluate.....the answer will = p(3) = the remainder
Last one
Volume of the hemisphere = (2/3)pi (radius)^3
The radius = 5 inches
So.....the volume is (2/3)pi (5)^3 = (250/3)pi in^2 ≈ 262 in^3
So
Volume of hemisphere / 14.44 = 262 / 14.44 ≈ 18 cups