3
AssignmentMultiple Choice

Solving Polynomial Equations using Technology

Question 3 • [INMT3] Integrated Math 3 Sem 1 (26-27)

Which system of equations can you use to find the roots of the equation 2x3 + 4x2 – x + 5 = –3x2 + 4x + 9?

Answer
A
y = 2x3 + x2 + 3x +5y =9
B
y = 2x3 + x2 y = 3x + 14
C
y = 2x3 + 4x2 – x + 5 y = –3x2 + 4x + 9

Explanation

To find the roots of the equation, graph its left side and right side as two expressions for y. The system should be y = 2x³ + 4x² − x + 5 and y = −3x² + 4x + 9, which matches choice C. The x-coordinates where these graphs intersect make the two sides equal, so they are the roots of the original equation.

AI-written and checked against the verified answer.

Previous
Next