SOLUTION: Hey, can you please answer this question for me thank you! For the polynomial function g(x) =ax^6+bx^3+3x, the y-intercept and the maximum possible number of x-intercepts, respe

Question 1181480: Hey, can you please answer this question for me thank you!
For the polynomial function g(x) =ax^6+bx^3+3x, the y-intercept and the maximum possible number of x-intercepts, respectively, are
Select one:
a. 0 and 6
b. 3 and 3
c. 0 and 9
d. 6 and 3

Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

The y-intercept is g(0), which is 0. So the answer is either a or c.

An x-intercept indicates a root of the polynomial; any polynomial of degree n has exactly n roots. The maximum number of x-intercepts is when the roots are all distinct. Since this polynomial is degree 6, the maximum number of x-intercepts is 6, so the answer is a.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

if there is no , the y-intercept is
if polynomial is function of degree , the maximum possible number of x-intercepts is

answer: a. and
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