alleryStart learning →Factorise the numerator and simplify (x²−5x+6)/(x−2), with x≠2.
Ax−2
Bx+2
Cx−3
Dx+3
Answer & Solution
Correct answer: C. x−3
The numerator factors as (x − 2)(x − 3); cancelling the nonzero x − 2 leaves x − 3.
Keep practising Factorisation
Browse all Factorisation questions for ICSE Class 8, or explore more Mathematics topics.
Related questions
For integers a,b, x²+px+q=(x+a)(x+b) is an identity. If p is odd, what must hold?Factorise 4x²−(y−1)², distributing the minus signs in the factors correctly.x²+5x+k=(x+m)(x+n), with distinct positive integers m,n. What is the least possible k?Which linear factor is common to x²+3x+2 and x²+4x+3?x²+px+12 has a factor x+3. What must p be?Which factorisation holds for x²−(a+b)x+ab?First recognise a binomial square, then factorise a²−2ab+b²−c².Treat x+1 as one quantity and factorise (x+1)²−9.