Match each function with its correct description.
, picture attached.

1. (x+6)(2x - 3)(x - 1)²

2.(x-2)²(-2x - 1)²(-x + 1)

3. (-x + 1)³(x + 2)²(x - 3)

4. (-2x + 1)²(x - 3)²(x + 1)

Step-by-step explanation:

1. Degree 4, leading coefficient positive

(x+6)(2x - 3)(x - 1)²

That's the only equation with a degree of 4 (meaning x^4).

If you square the last parenthesis, you'll get an x^2, multiplied by the 2nd parenthesis you'll get an x^3 and multiply with the first parenthesis you'll get an x^4.

2. Degree is 5, leading coefficient is negative

(x-2)²(-2x - 1)²(-x + 1)

If you do the square of each of the first two parenthesis, you'll get something like (x²...)(4x²...)(-x + 1)

Multiply the first two parenthesis, to get (4x^4)(-x + 1)

So, at the end you'll get -4x^5

3.  Degree 6, leading coefficient negative

(-x + 1)³(x + 2)²(x - 3)

That's the only equation of degree 6 given... so the choice is easy.  Let's verify it's degree 6 and with negative leading coefficient.

Cube the first term and square the second one, you'll get something like...

(-x³...)(x²)(x - 3)

If you combine all that you'll get something like -x^6

4.  Degree is 5, leading coefficient is positive

(-2x + 1)²(x - 3)²(x + 1)

If you do the square of each of the first two parenthesis, you'll get something like (4x²...)(x²...)(x + 1)

Multiply the first two parenthesis, to get (4x^4)(x + 1)

So, at the end you'll get 4x^5

step-by-step explanation: