Question

each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (1-7)

1. f(x)= x - 6x2 + 11x - 6;(x) = x - 3

2. f(x) = 3r+ +177 +9x2 - 7x - 10; g(x) = x +5

3. f(x) = x + 3x -x -3x2 + 5x +15, g(x) = x + 3

4. f(x) = x - 6x - 19x + 84, g(x) = x - 7

5. f(x) = 3x +

x - 20x + 12, g(x) = 3x -2

6. f(x) = 2x-9x² +x+ 12, g(x) = 3 - 2x

7.

= f(x) =x-6x + 11x - 6, g(x) = x - 3x +2

8. Show that (x - 2), (x + 3) and (x-4) are factors of x - 3x - 10x + 24.

9. Show that (x + 4), (x - 3) and (x - 7) are factors of x-6x - 19x +84.

10. For what value of a is (x - 5) a factor of x-3x2 + ax -10?

11. Find the value of a such that

(x-4) is a factor of 5x -7x- ax - 28.

12. Find the value of a, if x + 2 is a factor of 4x4 + 2x - 3x2 + 8x + 5a.

13. Find the value of k if x - 3 is a factor of kx - kx +3kx - k.

14. Find the values of a and b, if x - 4 is a factor of ax + 2xr³ - 3x + bx - 4.

15. Find a and B, if

x + 1 and x + 2 are factors of x + 3x - 2ax +B.

16. If x-2 is a factor of each of the following two polynomials, find the values of

(ii) x -3x - ax + 3x + 2ax +4

in each case

(i) x - 2ax + ax -1​

Answer 1

Answer:

Hi mate ✌️ ✌️ ✌️

Step-by-step explanation:

Here is ur answer

1.f(x) =x-6x2+11x-6 ; g(x) = x-3

g(x) = x-3

= x=3

f(x) = (3)-6(3)2+11(3)-6

= 3-6(9)+33-6

= 3-54+27

= - 51+27

= - 24

Therefore, g(x) =x-3 is not a factor of polynomial f(x) =x-6x2+11x-6.

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