5 Use the expression 3x4 x3 29x2 x 24 to a List all of t

5. Use the expression 3x⁴ – x³ – 29x² + x – 24 to:

a. List all of the possible zeros of the polynomial

b. write the polynomial as the product of a linear

Solution

f(x)=3x⁴ -x³-29x²+x-24

leading coefficient=3,factors=+-1,3

contant=24,factors=+-1,2,3,4,6,8,12,24

possible zeroes=+-1,2,3,4,6,8,12,24/1,3

=-1,-2,-3,-4,-6,-8,-12,-24,-1/3,-2/3,-4/3,-8/3,1,2,3,4,6,8,12,24,1/3,2/3,4/3