Question

Use synthetic substitution to find g(2) and g(-7) for the function g(x)=5x^4 - 3x^2 +6x-4

Answer 1

g(x) = 5x^4 - 3x^2 + 6x - 4

g(2) = 5(2^4) - 3(2^2) + 6(2) - 4
g(2) = 5(16) - 3(4) + 12 - 4
g(2) = 80 - 12 + 12 - 4
g(2) = 76

g(-7) = 5(-7^4) - 3(-7^2) + 6(-7) - 4
g(-7) = 5(2401) - 3(49) - 42 - 4
g(-7) = 12005 - 147 - 42 - 4
g(-7) = 12005 - 193
g(-7) = 11812