Question

Find the x-intercepts and intervals in the equation y=-x^4-5x^3+3x^2+13x=10

Answer 1

should that be + 10 at the end?

Answer 2

-10.

Answer 3

ok

Answer 4

the by rational root theorem the roots could be +/- 1, +/-2, +/- 5 +/- 10

evaluate f(1)

Answer 5

does it = 0?
if so you have one of the zeros ( intercepts on x-axis)

Answer 6

i got -5, -2 and 1.

Answer 7

good job

Answer 8

now, what is the interval?

Answer 9

now there must be another root because the function is of the 4th segree

Answer 10

* degree

Answer 11

when use the synthetic division, i got -x+1

Answer 12

it wiil be worth drawing the graph on Desmos
one of the roots could have duplicity 2

Answer 13

x = 1 has duplicity 2

Answer 14

so, in giving the intervals, should i disregard the another 1?

Answer 15

gtg right now sorry
one of the other guys will be able to help