Q1 of 47 Page 80

Determine whether (x + 1) is a factor of the following polynomials:

6x4 + 7x3 – 5x – 4

Let f(x) = 6x4 + 7x3 – 5x – 4


By factor theorem,


x + 1 = 0 ;x = – 1


If f(– 1) = 0 then (x + 1) is a factor of f(x)


∴f(– 1) = 6(– 1)4 + 7(– 1)3 – 5(– 1) – 4


= 6 – 7 + 5 – 4 = 11 – 11 = 0


∴(x + 1) is a factor of f(x) = 6x4 + 7x3 – 5x – 4


More from this chapter

All 47 →
4

If (x – 1) divides mx3 – 2x2 + 25x – 26 without remainder find the value of m

 5

If the polynomials x3 + 3x2 – m and 2x3 – mx + 9 leaves the same remainder when they are divided by (x – 2), find the value of m. Also find the remainder

 1

Determine whether (x + 1) is a factor of the following polynomials:

2x4 + 9x3 + 2x2 + 10x + 15

 1

Determine whether (x + 1) is a factor of the following polynomials:

3x3 + 8x2 + 6x – 5