Use the quadratic polynomial x^2+x−12 to answer the questions.

: which summary correctly applies the fundamental theorem of algebra to the quadratic polynomial?
: which statement correctly verifies the application of the fundamental theorem of algebra? select one answer for question a, and select one answer for question b.

a: this polynomial has a degree of 2, so the equation x2+x−12=0 has exactly two roots.
b: the quadratic equation x2+x−12=0 has two real solutions, x=3 or x=−4, and therefore has two real roots.
a: this polynomial has a degree of \(2\), so the equation \(x^2+x−12=0\) has two or fewer roots.
a: this polynomial has a degree of \(2\), so the equation \(x^2+x−12=0\) has more than two roots.
b: the quadratic equation \(x^2+x−12=0\) has two real solutions, \(x=−3\) or \(x=4\), and therefore has two roots.
b: the quadratic equation \(x^2+x−12=0\) has one real solution, \(x=3\), and therefore has one real root with a multiplicity of \(2\).

Given the choice between receiving $1.000.000 in one month or a single penny-doubled everyday for the period of one month; which option would you choice? show your work to support your answer. (assume that 1 month=30 days)

List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x) between x = 4 and x = 6. a 4, 4.5, 5, 5.5 b 4.5, 5, 5.5, 6 c 4.25, 4.75, 5.25, 5.75 d 4, 4.2, 5.4, 6

At river bank, checking account customers earn 0.75% interest a month on their account balances, pay no service fees for writing checks, and pay a monthly $2.00 financial charge. calculate the income earned in one month on the checking account for a customer with an account balance of $1,000. a. $4.25 b. $5.50 c. $6.75 d. $7.25 checking account earnings at baker’s bank are expressed by the equation: i = -0.09x + 10.2. while the earnings at elite bank are modeled by: i = -0.02x + 7.5. in both cases, x is the number of checks written. at what number of checks will elite bank start generating more checking account income than baker's bank? a. 12 b. 25 c. 39 d. 42 emilio’s checking account had a balance of 728.32 at the beginning of the week. he wrote checks for the following amounts throughout the week: $99.48, $33.50, $18.23, and $72.05. he also deposited his paycheck in the amount of $1,109.90. what is his account balance at the end of the week? a. $1,192.35 b. $1,222.86 c. $1,540.52 d. $1,614.96