# FIND LINEAR FACTORS OF A POLYNOMIAL WORKSHEET

Find the linear factors of :

Problem 1 :

2x2 - 7x - 15

Solution

Problem 2 :

z2 - 6z + 16

Solution

Problem 3 :

x3 + 2x2 - 4x

Solution

Problem 4 :

6z3 - z2 - 2z

Solution

Problem 5 :

z4 - 6z2 + 5

Solution

Problem 6 :

z4 - z2 - 2

Solution

1)  linear factors are (2x + 3) (x - 5).

2)  linear factors is (z - 3 + i√7) (z - 3 - i√7).

3)  x(x + 1 + √5) (x + 1 - √5).

4)   z(3z - 2) (2z + 1).

5)  (z + 1) (z - 1) (z + √5) (z - √5).

6)  (z + i) (z - i) (z +√2) (z - √2).

Factor the following polynomial by grouping.

Problem 1 :

x4 - 2x³ + 3x² - 6x

Solution

Problem 2 :

x5 - x4 - 2x3 + 2x²

Solution

Problem 3 :

x4 - 3x³ - 5x² + 15x

Solution

Problem 4 :

x² (x - 1) - 9(x - 1)

Solution

Problem 5 :

x³ - 2x² - 16x + 32

Solution

Problem 6 :

4x²(x - 3) - 25(x - 3)

Solution

Problem 7 :

x³ + 4x² - 36x - 144

Solution

1)  x (x - 2)(x2 + 3).

2  x²(x - 1) (x² - 2).

3)   x(x² - 5) (x - 3).

4)   (x - 1) (x + 3) (x - 3).

5) (x - 2) (x + 4) (x - 4).

6)  (x - 3) (2x + 5) (2x - 5).

7)   (x + 4) (x + 6) (x - 6).

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