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WAEC Further Mathematics 2024 Paper

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Question : 7

Total: 40

If 5x + 7

\equiv

P(x + 3) + Q(x - 1), find the value of p

3
2
1
0

Solution:

Concept:

Use substitution to make the term containing

Q

vanish, then solve for

P

.

Explanation:

Given:

5x + 7 \equiv P(x + 3) + Q(x - 1)

Put

x = 1

so that the factor

(x - 1)

becomes zero.

Then, LHS:

5(1) + 7 = 5 + 7 = 12

RHS:

P(1 + 3) + Q(1 - 1) = 4P + Q(0) = 4P

So,

12 = 4P

Divide both sides by

4

:

P = \frac{12}{4} = 3

Answer:

P = 3

Correct option: A. 3

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