Solve x^2+mx-8)(x^2-3x+n)

$$x ^ { 2 } + m x - 8 ) ( x ^ { 2 } - 3 x + n )$$

Differentiate w.r.t. x

$$2x+m$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2x^{2-1}+mx^{1-1}$$

Subtract 1 from 2.

$$2x^{1}+mx^{1-1}$$

Subtract 1 from 1.

$$2x^{1}+mx^{0}$$

For any term t, t^{1}=t.

$$2x+mx^{0}$$

For any term t except 0, t^{0}=1.

$$2x+m\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2x+m$$

Evaluate

$$x^{2}+mx-8$$