Question

Write each of the following as a polynomial in descending powers of its variable

1. 7x(x+3)

2. (7x+1)(x+3)

3. (x²+x)²

Answer 1

1. 7x(x + 3)
7x(x) + 7(3)
7x² + 21

2. (7x + 1)(x + 3)
7x² + 21x + x + 3
7x² + 22x + 3

3. (x² + x)²
(x² + x)(x² + x)
x^4 + x³ + x³ + x²
x^4 + 2x³ + x²