Gce Model Questions Vol1 2022 Mathematics Question 5

Practice essay / theory question 5 from the 2022 Gce Model Questions Vol1 Mathematics examination. This question covers Algebraic expressions, Expansion and simplification, Substitution .

Gce Model Questions Vol1 2022 Mathematics Essay / Theory

Topics: Algebraic expressions Expansion and simplification Substitution

Question 5 GCE_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • essay

Consider the algebraic expression E = (3x - 2)(2x + k) \- (x^2 \- 5x + 6). You are required to manipulate and evaluate this expression as described in the following parts.

Question Parts

( a )

Expand the product (3x \- 2)(2x + k) and simplify the whole expression E, writing the result in the form ax^2 + bx + c.

( b )

It is given that the coefficient of x in the simplified expression obtained in part (a) is 16. Find the value of k.

( c )

Using the value of k found in part (b), evaluate E when x = 2.

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About This Question

This is Gce Model Questions Vol1 2022 Mathematics Question 5. It is one of the essay questions from the 2022 Gce Model Questions Vol1 Mathematics examination.

The question covers Algebraic expressions, Expansion and simplification, Substitution .

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