How many separate multiplication problems need to be done to multiply (x³⁰ + x²⁰ + x¹⁰) (4x³ + 3x² + 2x + 1)?

3

4

7

12

How can you multiply 5x(x + 3)(x + 10)?

Multiply 5x by (x + 3) to get (5x² + 15x), and then multiply that product by (x + 10).

Multiply 5x by (x + 10) to get (5x² + 50x), and then multiply that product by (x + 3).

Multiply (x + 3) by (x + 10) to get (x² + 13x + 30), and then multiply that product by 5x.

Any of these approaches will work.

Which of these results in a binomial?

(2x + 5)²

2(x + 5)(x + 5)

(2x + 5)(2x – 5)

(2x – 5)(2x – 5)

(x – 6)² ＝

x² – 36

x² + 36

x² – 6x + 36

x² – 12x + 36