Question

Write the polynomial in standard form.
(x + 1)(x + 1)(x + 2)

Answer 1

x^3 + 4x^2 + 5x + 2

Explanation:

Expanding (x + 1)(x + 1)(x + 2), we get:

(x + 1)(x^2 + 3x + 2)

= x(x^2 + 3x + 2) + 1(x^2 + 3x + 2)

= x^3 + 3x^2 + 2x + x^2 + 3x + 2

= x^3 + 4x^2 + 5x + 2

Therefore, the polynomial in standard form is:

f(x) = x^3 + 4x^2 + 5x + 2