Multiply the polynomials (x + 3) (2x – 4). What is the product in the form ax² + bx + c?

answer:

2x²+2x-12

explanation:

(x + 3) (2x – 4)                           [ open the bracket ]

x(2x) -4(x) +3(2x)+ 3(-4)             [ multiplication ]

2x²-4x+6x-12                             [ simplify ]

2x²+2x-12                                  [ final 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:

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

step-by-step explanation:

for exempl this   system of equations   y = x - 3

                                                                y = 2x - 5

look   the line : y = x -3     ( red)

                            the line : y = 2x -5 ( bleus)