If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p•q)(x)

Question

please help me solve

Answer 1

Greetings! Lets solve this shall we ?

So, we must find the composite function such that (p*q)(x)

(p*q)(x) = (2x²-4x)(x-3).............Use the Distributive Property such that

(p*q)(x) = 2x³-6x²-4x²+12x

(p*q)(x) = 2x³ - 10x² + 12x

I hope this helped!

Answer 2

If you mean multiplication then

  (2x^2  - 4x)(x - 3) = 

 

   2x^3 - 4x^2 - 6x^2 + 12x = 

  3x^3 - 10x^2 + 12x

 

 

If you mean COMPOSITION then

 

2(x-3)^2 - 4(x-3) =

{2(x-3) - 4 }(x-3) =

 { 2x - 10 }(x-3) = 

2(x-5)(x-3)