+73 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
+129852 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....
+129852 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 !!!!
