Write the expression as a polynomial: (5-2a+a²)(4a²-3a-1)

Question

Write the expression as a polynomial: (5-2a+a²)(4a²-3a-1)

Answer 1

Write the expression as a polynomial.

(5 - 2a + a^2)*(4a^2 - 3a - 1)

Solution: Just use the distributive property, three times.

= 20a^2 - 15a - 5 - 8a^3 + 6a^2 + 2a + 4a^4 - 3a^3 - a^2

= 4a^4 - 11a^3 + 25a^2 - 13a - 5