Exam 4: Living in a Nonlinear World

Clear parentheses and combine like terms.

Factor the binomial completely. $t ^ { 2 } - 9$

Simplify. Write your answer in exponent form.

When factoring a trinomial of the form pick an appropriate combination of signs. Assume a, b , and c represent positive integers.

Add the polynomials.

Simplify.

Use the distance formula to find the distance between the two points.

Nick borrowed $2000 for 4 years and 3 months at 8% simple interest. a. How much interest will Nick have to pay? b. What will be the total amount that he has to pay back?

Find the opposite of the polynomial. $- 9 x ^ { 4 } + 16 x ^ { 2 } - 11$

Perform the indicated operations. $\left( 19 t ^ { 4 } - 2 t ^ { 2 } + 4 t \right) + \left( 2 t ^ { 4 } - 4 t + 27 \right) - \left( 4 t ^ { 4 } + t ^ { 2 } + 19 \right)$

Factor the polynomial completely.

Graph the function $f ( x ) = 2 ^ { x }$ . Plot at least three points.

Find the total amount for the investment using compound interest.

$2500 is borrowed from a bank that charges 10% simple interest. If the money is repaid in 5 1/2 years, how much must be paid back?

Simplify the expression. Write the answer in exponent form. $7 ^ { 5 } \cdot 7 ^ { 7 }$

Factor completely. $x ^ { 2 } + 10 x y + 25 y ^ { 2 }$

Find the length of the unknown side.

Simplify.

Multiply the conjugates.

Factor completely. $t ^ { 2 } + 10 t + 16$