Question

Write the following polynomials in coefficient form.

(i) $x^3-2$ (ii) $5y$ (iii) $2m^4-3m^2+7$ (iv) $-\frac{2}{3}$

Answer 1

(i)
$x^3-2=x^3+0x^2+0x-2$

The coefficient form of the polynomial is (1, 0, 0, −2).

(ii)
5y = 5y + 0

The coefficient form of the polynomial is (5, 0).

(iii)
$2m^4-3m^2+7=2m^4+0m^3-3m^2+0m+7$

The coefficient form of the polynomial is (2, 0, −3, 0, 7).

(iv)
The coefficient form of the polynomial $-\frac{2}{3}$ is $\left(-\frac{2}{3}\right)$.