f(x) = x 3 +4x 2 +11x30 The graph shows a sketch of part of the

Question:

f(x) = − x³  + 4x²  + 11x − 30

The graph shows a sketch of part of the curve with equation y = − x³  + 4x²  + 11x − 30.

a. Use the factor theorem to show that (x + 3) is a factor of f(x).

b. Write f(x) in the form (x + 3)(Ax² + Bx + C).

c. Hence, factorise f(x) completely.

d. Hence, determine the x-coordinates where the curve intersects the x-axis.

e. Hence, determine the total shaded area shown on the sketch.

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

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Question Posted: Jul 15, 2023 04:24 AM

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f(x) = x 3 +4x 2 +11x30 The graph shows a sketch of part of the

Question:

YA y=-x³+4x² - 11x - 30 X

Step by Step Answer:

a To show that x 3 is a factor of fx we can use the factor theorem According to the factor theorem i...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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