exam Maths Puzzle Numerical Ability

can you help with this? use the remainder therom to evaluate P(x)=-4x^3+x^2-2x+7, for x=-2. I came up with 47, am i correct? thank you.

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exam Other Question

Find the indicated function values?

a)g(x)= x-5 g(5)
b)f(x)=3xsquared + 5x f(0)
c)f(x)=4xsquared + 3x-2 f(-1)
I need to write a power function in form of y=ax^b passing through points (2,3)(6,7). This is what I've got so far:3=a*2^b a=3/2^b and 7=a*6^b

Then I've got 7/3 =3/2^b *6b. N