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4. Which of the following binomials is a factor of the quadratic 4x^2 - 35x + 24? Try to do this without factoring but by using the Remainder Theorem.

(1) x + 6

(2) x - 4

(3) x - 8

(4) x + 2

5. Which of the following linear expressions is a factor of the cubic polynomial x^3 + 9x^2 + 16x - 12?

(1) x + 6

(2) x - 1

(3) x - 3

(4) x + 2

GAMEMASTERX40 Feb 10, 2019

#1**+2 **

Here's how to do the first one, GM

Evaluate - 6 , 4, 8 and - 2 in the polynomial [ one at a time, of course ]

Whichever gives you a 0 [ maybe more than one ] will be the answer(s)

For example....if we put -6 into the polynomial and get 0, then [ x - (-6) ] = x + 6 will be an answer

If you have any questions.....let me know....

CPhill Feb 10, 2019

#2**+2 **

5. Is done similarly

Remember that if x - a is a factor.....then a is a root.....in other words...P(a) will equal 0

So....for x + 6 we can write [ x - (-6) ]

And "a" = - 6

So....put -6 into the polynomial....if you get 0, then x + 6 is a factor

Do the same thing for (2) (3) and (4)

If you are confused....let me know....this IS a little tricky !!!!

CPhill Feb 10, 2019