Mathematics

Ella Pope

27 August, 15:23

5 questions

1. What is the third term in the binomial expansion (x-y^5) ^3?

-3x^2y^5

-3xy^10

-9x^2y^2

-15xy^10

2. Use Pascals Triangle to expand (3a - b) ^4

A.

81a^4+12a^3b+18a^2b^2+12ab^3+b^4

B.

81a^4-12a^3b+18a^2b^2-12ab^3+b^4

C.

81a^4+108a^3b+54a^2b^2+12ab^3+b^4

D.

81a^4-108a^3b+54a^2b^2-12ab^3+b^4

3. Use the Binomial Theorem to expand (t-w) ^4

A.

t^4-6t^3w+8t^2w^2-6tw^3+w^4

B.

t^4-w^4

C.

t^4-4t^3w+6t^2w^2-4tw^3+24w^4

D.

t^4-4t^3w-12t^2w^2+24tw^3+24w^4

4. Write 2r^3+8r^2-10r in factored form

A.

(2r-1) (r+5)

B.

2 (r^3+4r^2-5r)

C.

2r (r^2+4r-5)

D.

2r (r-1) (r+5)

5. Find the factored form of m^3-4m^2+6m-24

A.

(m+4) (m^2-6)

B.

m^2 (m-4) + 6m-24

C.

(m-4) (m^2+6)

D.

m (m^2-4m+6) - 24