Answer:
We want to multiply two polynomials of degree 1, and get in that way a polynomial of degree 2.
We will get the polynomial: p(x) = 2 * x² + 2 * x - 12
Step-by-step explanation:
We just want to multiply (x + 3) and (2*x - 4).
So we start by writing:
(x+3) * (2*x-4)
Now we just expand this:
(x+3) * (2*x-4) = 2 * x² + x * (-4) + 3 * (2 * x) + 3 * (-4)
Now we need to simplify the above expression:
2 * x² + x * (-4) + 3 * (2*x) + 3 * (-4) = 2 * x² + (6 - 4) * x - 12 = 2 * x ² + 2 * x - 12
This is the polynomial we wanted to get:
p (x) = 2 * x² + 2 * x - 12
If you want to learn more, you can read:
brainly.com/question/11536910
