Use Remainder theorem to factorize the following polynomial
Algebra (10)Use Remainder theorem to factorize the following polynomial
2π₯3 + 3π₯2 - 9π₯ - 10
Answer
f(π₯) = 2π₯3 + 3π₯2 - 9π₯ - 10
2π₯3 + 3π₯2 - 9π₯ - 10
= 2 Γ 23 + 3 Γ 22 - 9 Γ 2 - 10Β Β Β Β Β Β Β Β (Putting x = 2)
= 16 + 12 - 10 - 10
= 0 β΄ (x β 2) is a factor
2π₯3 + 3π₯2 - 9π₯ - 10 = (π₯ - 2)(2π₯2 + 7π₯ + 5)
= (π₯ - 2)(2π₯ + 5)(π₯ - 2)
Β
Exam Year:
2018