Find the quotient and remainder if $f(x)$ is divided by $p(x)$.

$$f(x) = 3x^5-4x^3+x+5 ; \quad p(x) = x^3-2x+7$$

A polynomial P(x) is divided by a binomial x - a. The remainder is zero. What conclusion can you draw? Explain.

Find the quotient and remainder if $f(x)$ is divided by $p(x)$.

$$f(x)=4 x^3-x^2+2 x-1 ; \quad p(x)=x^2$$

Find the quotient and the remainder.

$$\frac { 1 - 2 x + 3 x ^ { 2 } - 4 x ^ { 3 } } { x - 2 }$$

Find the quotient q(x) and remainder r(x) when ƒ(x) is divided by g(x). ƒ(x) = 2x³ - 3x² + x - 1, g(x) = 3x³ + 4x - 5

Write each expression using exponents.

$(-7)\cdot(-7)\cdot 5\cdot 5\cdot 5\cdot 5=$ ___

What is the quotient and what is the remainder, when $(x+5)^2(8 x-5)$ is divided by $x+5$?

Add.

$$\frac{5}{8}+\frac{5}{12}+\frac{5}{18}=$$

Verify each identity.

$$\sin t \tan t = \frac { 1 - \cos ^ { 2 } t } { \cos t }$$

Determine if $P(x)=3 x^3-4 x^2-28 x-16$ has a zero remainder when divided by $x+2$. Determine $Q(x)$.

Find the quotient and remainder if $f(x)$ is divided by $p(x)$.

$$f(x) = 3 x^4+2 x^3-x^2-x-6 ; \quad p(x) = x^2+1$$

Pickled cucumbers remain edible much longer than fresh cucumbers do. Explain.

choose the correct letter. Which expression equals ((t² - 1)/(t - 2)) · ((t² - 3t + 2)/(t² + 4t + 3))? A. ((t² - 2t + 1)/(t + 3)) B. ((t² - 1)/(t + 3)) C. ((t + 1)² (t + 3)/(t - 2)²) D. ((2t² - 3t + 1)/(t² + 5t + 1))

Find the quotient and remainder using a calculator. Check your answers.

c. $9,346,870 \div 1349$