Neco 2017 Mathematics Question 5

Practice essay / theory question 5 from the 2017 Neco Mathematics examination. This question covers Algebraic Expressions, Factor Theorem, System of Linear Equations .

Neco 2017 Mathematics Essay / Theory
Topics: Algebraic Expressions Factor Theorem System of Linear Equations
Question 5 NECO • 2017 • MATHEMATICS • essay

Consider the cubic polynomial P(x) = ax^3 + bx^2 + cx + d, where a, b, c and d are integers.

Question Parts

( a )
It is known that (i) (x - 1) and (x + 2) are factors of P(x); (ii) when P(x) is divided by (x - 3) the remainder is 20; (iii) the sum of the coefficients of P(x) is 10. Determine the values of a, b, c and d.
( b )
Using the values obtained, evaluate P(0).

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About This Question

This is Neco 2017 Mathematics Question 5. It is one of the essay questions from the 2017 Neco Mathematics examination.

The question covers Algebraic Expressions, Factor Theorem, System of Linear Equations .

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