Question

homework assignment 5.4 dividing polynomials
due friday by 11:59pm points 8 submitting an external tool
homework assignment 5.4 dividing polynomials
score: 2/8 answered: 2/8
question 3
find the quotient and remainder using long division for: $\frac{2x^{3}-4x^{2}+7x - 8}{2x^{2}+5}$
the quotient is
the remainder is
question help: video read written example message instructor

Explanation:

Step1: Divide leading terms

Divide $2x^{3}$ by $2x^{2}$ to get $x$.

Step2: Multiply and subtract

Multiply $2x^{2}+5$ by $x$ to get $2x^{3}+5x$. Subtract from $2x^{3}-4x^{2}+7x - 8$: $(2x^{3}-4x^{2}+7x - 8)-(2x^{3}+5x)=-4x^{2}+2x - 8$.

Step3: Divide new leading term

Divide $-4x^{2}$ by $2x^{2}$ to get $- 2$.

Step4: Multiply and subtract again

Multiply $2x^{2}+5$ by $-2$ to get $-4x^{2}-10$. Subtract from $-4x^{2}+2x - 8$: $(-4x^{2}+2x - 8)-(-4x^{2}-10)=2x + 2$.

Answer:

The quotient is $x - 2$.
The remainder is $2x + 2$.