Methods2024 Exam 2 Section A · Q17CAS active1 mark

Pseudocode that prints the roots of a cubic

Consider the algorithm below, which prints the roots of the cubic polynomial $f(x) = x^3 - 2x^2 - 9x + 18$ .

In order, the algorithm prints the values

1 mark

-3, 3, 2

-3, 2, 3

3, 2, -3

3, -3, 2

Hints, answer checking and worked solutions come with a Season Pass.

Methods2024 Exam 2 Section A · Q17CAS active1 mark

Pseudocode that prints the roots of a cubic

Consider the algorithm below, which prints the roots of the cubic polynomial $f(x) = x^3 - 2x^2 - 9x + 18$ .

In order, the algorithm prints the values

1 mark

-3, 3, 2

-3, 2, 3

3, 2, -3

3, -3, 2

Hints, answer checking and worked solutions come with a Season Pass.

define f(x)
    return (x^3 - 2x^2 - 9x + 18)
c ← f(0)
if c < 0 then
    c ← (-c)
end if
while c > 0
    if f(c) = 0 then
        print c
    end if
    if f(-c) = 0 then
        print -c
    end if
    c ← c - 1
end while