1. ## College Algebra

identify which of the numbers -1, 1, 5/2, -2/5, 3/2, and 2/5 are roots of the polynomial equation 10x raised to the 4th -19x raised to the third -4x raised to second+19x-6.

determine which of the following correctly uses the intermediate value theroem to show that the graph of the function has a zero in the given interval. Find the value of the zero to tow decimal places.
f(x)= 2x raised to the third +3x raised the second - 10 x -4; [-3,-2]

a: f(-2)=12>f(-3)=-1 (-4.00,0)
b: f(-3)=-1<0 and f(-2)=12>0 (-2.96, 0)
c: f(-3)=-1<0 and f(-2) =12>o (-4.00,0)
d: f(-2)= 12>f(-3)=-1 (-2.96,0)

2. Originally Posted by Brooke
identify which of the numbers -1, 1, 5/2, -2/5, 3/2, and 2/5 are roots of the polynomial equation 10x raised to the 4th -19x raised to the third -4x raised to second+19x-6.
Which of $-1,\ 1,\ 5/2,\ -2/5,\ 3/2,\ 2/5$ are roots of:

$10x^4-19x^3-4x^2+19x-6$

This at one level just involves trying each of the values:

$x=-1,\ 1,\ 5/2,\ -2/5,\ 3/2,\ 2/5$

to see which of these result in the polynomial evaluating to $0$.
Doing this we see that the roots are $-1,\ 1,\ 3/2,\ 2/5$.

RonL