1. UNIT 03 December
1. Factorize these polynomials
a) 𝒙𝒙𝟐𝟐
− 𝟐𝟐𝟐𝟐 − 𝟑𝟑
b) 𝟓𝟓𝒙𝒙𝟑𝟑
− 𝟓𝟓𝟓𝟓
c) 𝒙𝒙𝟑𝟑
− 𝟐𝟐𝒙𝒙𝟐𝟐
− 𝟓𝟓𝟓𝟓 + 𝟔𝟔
d) 𝒙𝒙𝟑𝟑
+ 𝟒𝟒𝒙𝒙𝟐𝟐
+ 𝟓𝟓𝟓𝟓 + 𝟐𝟐
e) 𝒙𝒙𝟒𝟒
− 𝟑𝟑𝒙𝒙𝟐𝟐
+ 𝟐𝟐𝟐𝟐
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.3.5.1
2. UNIT 03 December
2. Write the roots of these factorizing polynomials:
f) 𝒙𝒙𝟓𝟓
− 𝟓𝟓𝒙𝒙𝟑𝟑
+ 𝟒𝟒𝟒𝟒
g) 𝒙𝒙𝟑𝟑
− 𝟒𝟒𝒙𝒙𝟐𝟐
+ 𝟒𝟒𝒙𝒙 − 𝟏𝟏𝟏𝟏
h) 𝒙𝒙𝟒𝟒
− 𝟏𝟏𝟏𝟏𝒙𝒙𝟑𝟑
+ 𝟑𝟑𝟓𝟓𝒙𝒙𝟐𝟐
− 𝟓𝟓𝟓𝟓𝟓𝟓 + 𝟐𝟐𝟐𝟐
a) (𝟐𝟐𝒙𝒙 + 𝟏𝟏) ∙ (𝒙𝒙 − 𝟐𝟐)
b) (𝒙𝒙 − 𝟑𝟑) ∙ (𝒙𝒙 + 𝟓𝟓)
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.3.5.2
3. UNIT 03 December
3. Write the polynomial as product of other two polynomials in two different
ways: 𝑷𝑷(𝒙𝒙) = 𝟔𝟔𝒙𝒙𝟐𝟐
+ 𝟏𝟏𝟏𝟏𝟏𝟏 + 𝟏𝟏𝟏𝟏
4. Factorize these polynomials:
c) 𝒙𝒙𝟐𝟐
∙ (𝒙𝒙𝟐𝟐
+ 𝟐𝟐) ∙ (𝒙𝒙 + 𝟑𝟑)
d) (𝒙𝒙 − 𝟏𝟏)𝟑𝟑
∙ (𝟑𝟑𝟑𝟑 + 𝟐𝟐) ∙ (𝒙𝒙 + 𝟒𝟒)
a) 𝒙𝒙𝟑𝟑
− 𝟑𝟑𝒙𝒙𝟐𝟐
+ 𝟑𝟑𝟑𝟑 − 𝟏𝟏
Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.3.5.3