Eric Nicholas K's answer to Kathy's Secondary 4 A Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
1965 answers (Tutor Details)
1. "If 10 is a factor of 100, then 2 and 5 are also factors of 100, since 2 and 5 are factors of 10"

2. Remainder theorem applies here, with remainder being equal to zero since there are factors present.

3. You will obtain one pair of simultaneous equations to solve.

4. Once you find p and q, you can perform comparing coefficients or long division to find the remaining quadratic expression (which of course must be a factor also) which will be factorised to become two more factors of the expression.