Activities Unit 5: Monomials and Polynomials

Activities Unit 5: Monomials and Polynomials

1. With the following polynomials:

P(x)=-5x⁴ + 7x² – 5x + 1

M(x)= – 6x³ + 9x²– x + 1

T(x)= x⁴ + 2x³ + 8x – 2

Do these operations:

1. a) P(x)-T(x)+2M(x)
2. b) [M(x)-P(x)] . [T(x)-M(x)]
3. c) 3P(x) – 4T(x) – M(x)

2. Extract the common factor from these polynomials:
3. a) x² – 4xy + 4y²
4. b) 49 – 7z + z²/4
5. c) 36z²t² + 24z²t + 4z²
6. d) 3z²+12zx +12x²

3. Operate and simplify:

a)-5x (x² + x + 1)+ 4(- x³ + 7x² – 2)

b) (3x – 2)² ( -2x + 1) – 3(6x³ – 4x² + 3x – 2)

c)-x² ( x³ – x² – 1) – x (x²-1)

4. Do the binomial products:
5. a) (x – 3)²
6. b) (x² + 2)²
7. c) (2a + b) (2a – b)
8. d) (3 – 4t²)²