If (x + 2) is a factor of f(x), then:
Factorisation of Polynomials
Original Khojo Papers practice question — not from a past board paper.
a = −1
No citable source has been recorded for this record. Treat it as practice material, not as fact.
By the factor theorem f(2) = 0, so 8 + 4a + 4 − 8 = 0, giving 4a = −4 and a = −1.
From the same topic and chapter, at a similar level.
If (x + 2) is a factor of f(x), then:
Factorisation of Polynomials
Factorise x3 − 7x + 6 completely.
Factorisation of Polynomials
Factorise x3 − 6x2 + 11x − 6 completely.
Factorisation of Polynomials
Find k if x3 + kx2 − 3x + 6 leaves a remainder of 10 when divided by (x − 2).
Factorisation of Polynomials
Show that (x − 3) is a factor of x3 − 2x2 − 5x + 6.
Factorisation of Polynomials
Show that (x − 3) is a factor of x3 − 2x2 − 5x + 6, and hence factorise the polynomial completely.
Factorisation of Polynomials