Find the remainder when 2x3 + 3x2 − 5x + 7 is divided by (x + 2).
Factorisation of Polynomials
Original Khojo Papers practice question — not from a past board paper.
If f(x) is a polynomial and f(a) = 0, then (x − a) is a factor of f(x); conversely, if (x − a) is a factor of f(x) then f(a) = 0.
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It is the remainder theorem in the special case where the remainder is zero.
From the same topic and chapter, at a similar level.
Find the remainder when 2x3 + 3x2 − 5x + 7 is divided by (x + 2).
Factorisation of Polynomials
The remainder when x3 + 2x2 − x + 1 is divided by (x − 1) is:
Factorisation of Polynomials
Find the remainder when x3 − 3x2 + 4x − 5 is divided by (x − 2).
Factorisation of Polynomials
Show that (x − 3) is a factor of x3 − 2x2 − 5x + 6.
Factorisation of Polynomials
Factorise x3 − 6x2 + 11x − 6 completely.
Factorisation of Polynomials
Factorise 2x3 + x2 − 13x + 6 completely.
Factorisation of Polynomials