Short answerModerate3 marks
What must be subtracted from 16x³ - 8x² + 4x + 7 so that the resulting expression has 2x + 1 as a factor?
Topic: Remainder and factor theorem
Previous-year question practice database
Answer
Solution diagram
Exam answer
A= 1
Explanation
Let A be subtracted f(x) =16x3 – 8x2 + 4x + 7 – A f( 3 2 1 1 1 1 16 8 4 7 2 2 2 2 − − − −
= − + +
− A = 0 -2 -2 -2 +3 – A=0 A= 1 ∴ 1 must be subtracted.
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