92384
AssignmentMultiple Choice

The Cubing Function

Question 92384 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Which best describes the roots of the function h(x) = x3 – 4x2 – 3x + 18?

Answer
A
no real number solutions
B
1 real number solution
C
2 real number solutions
D
3 real number solutions

Explanation

Factor the polynomial: h(x) = x³ − 4x² − 3x + 18 = (x − 3)²(x + 2). The zeros are x = 3 and x = −2, so there are 2 distinct real number solutions. The root 3 is repeated, but it counts as just one solution.

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