Using the Rational Root Theorem, state the possible rational roots for the function. Solve the function using synthetic division to check each possible root. Show all your work. f(x)=3x^2+2x-1

Algebra II: Polynomials quizzes about important details and events in every ... A root or zero of a function is a number that, when plugged in for the variable, ... We can use the Rational Zeros Theorem to find all the rational zeros of a polynomial. ... As seen from the second synthetic division above, 2x4 + x3 -19x2 -9x + 9÷x + ...

Step-by-step explanation:

The Rational Zero Theorem helps us to narrow down the number of possible rational zeros using the ratio of the factors of the ... Let us set each factor equal to 0, and then construct the original quadratic function absent its stretching factor. ... The Rational Zero Theorem states that, if the polynomial f(x)=anxn+an−1xn−1+…

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.