Use synthetic division to decide whether the given number k is a zero of the given polynomial function. If it is not give the value of f(k). f(x) = x2 + 2x2 – 3x + 1, k = 2 + i
Is 2+ i a zero of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The given k is not a zero of the polynomial function, f(2 + i)=0
A.
(Simplify your answer. Express complex numbers in terms of i.)
OB. The given k is a zero of the polynomial function.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

3

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh