Question

Geo




The graph of a polynomial function of degree 5 has three x-intercepts, all with multiplicity 1. Describe the nature and number of all its zeros.
A) The function has 5 real zeros.
B) The function has 3 real zeros.
C) The function has 3 real and 2 imaginary zeros.
D) The function has 2 real and 3 imaginary zeros.

Answer 1

For the left graph (y=2x^2), B) the graph will become narrower.
For the 2nd one (inequality):
$3 - 2x \geqslant - 17 \\ 3 - 3 - 2x \geqslant - 17 - 3 \\ - 2x \geqslant - 20 \\ - 2x \div - 2 \geqslant - 20 \div - 2$
$x \leqslant 10... \: note \: inequality \: flips \\ when \: you \: divide \: by \: a \: negative$
Therefore it is D)
I think the last one is C) 3 real and 2 imaginary zeros. Because the three real ones are where it crosses the x-axis.

Answer 2

The correct answer was

C) The function has 3 real and 2 imaginary zeros.