Write the expression as a polynomial: (a^2–2a+3)(a–4)

Question

POLYGONEIOLIZATIONARETUOPOLIZMAWERTHUJIOP

Answer 1

Hi Karen.

 

To write as a polynomial, just multiply every term int he first parentheses by every term in the second parentheses.

 

It is like distributing:

 

a²(a-4) - 2a(a-4) + 3(a-4)

 

a³ - 4a² - 2a² + 8a + 3a - 12

 

Now combine like terms:  

 

a³ - 6a² + 11a -12   <----  that is your polynomial

Answer 2

a²(a) + a²(-4) -2a(a) - 2a(-4) + 3(a) + 3(-4)

 

a³ - 4a² - 2a² + 8a + 3a - 12

 

a³ - 6a² + 11a - 12