SOLUTION: Use synthetic division and the Factor Theorem to determine whether (x + 1/2) is a factor of P(x) = 10x^4 + 9x^3 � 4x^2 + 9x +6.

Question 260983: Use synthetic division and the Factor Theorem to determine whether (x + 1/2) is a factor of P(x) = 10x^4 + 9x^3 � 4x^2 + 9x +6.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
(I'm going to use 0.5 instead of 1/2 to make things easier for me.)
(x+0.5) is a factor of a polynomial if it divides evenly (IOW the remainder is zero) into the polynomial. So all we have to do is divide the polynomial by (x+0.5) and see if the remainder is zero:

-0.5 |   10    9   -4   9   6
------        -5   -2   3  -6
         ---------------------
         10    4   -6  12   0

The remainder is 0. So (x + 0.5) is a factor of P(x). (The other factor, taken from the numbers in front of the remainder, is
RELATED QUESTIONS
How do I determine the end behavior of the graph of the function? f(x)=-3x^6+2x^4+4x^3-2 (answered by ewatrrr)

PLEASE HELP!!!! use synthetic division and the Factor Theorem to determine whether... (answered by Boreal)

HOW WOULD I USE SYNTHETIC DIVISION GIVEN THE POLYNOMIAL: P(X)=X^4-4X^3-6X^2-4X-15 AND... (answered by AnlytcPhil)

Could someone please help? Use synthetic division and the Remainder Theorem to find... (answered by stanbon)

1. Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3 2. Let f(x) = (answered by josgarithmetic)

Use synthetic division to determine whether x - 1/2 is a factor of 18x^3 + 3x^2 - 4x -... (answered by solver91311)

Use synthetic division and the factor theorem to determine whether or not x-5 is a factor (answered by stanbon)

Use the Factor Theorem to determine whether x-2 is a factor of P(x)= x^4-2x^3+3x-6.... (answered by tommyt3rd)

Use factor theorem ad synthetic division to determine which if the following is/are a... (answered by ikleyn)