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Methods2024 NHT Exam 2 Section A · Q4CAS active1 mark

Line through x-intercept and inflection point of a cubic

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A straight line passes through the positive $x$ -intercept of the curve of the cubic $y = x^3 - x^2 - 2x$ and also through its point of inflection.

The gradient of this line is

1 mark

A

\frac{4}{9}

B

\frac{2}{3}

C

\frac{1}{2}

D

-\frac{20}{9}

E

-\frac{20}{9}

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