Mathematics
Is (x - 2) a factor of x3 - 4x2 - 11x + 30 ?
yes
no
nothing can be said
none of the above is true
Factorisation
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Answer
Given,
⇒ x - 2 = 0
⇒ x = 2.
Substituting x = 2 in x3 - 4x2 - 11x + 30, we get :
⇒ 23 - 4(2)2 - 11(2) + 30
⇒ 8 - 4(4) - 22 + 30
⇒ 8 - 16 - 22 + 30
⇒ 38 - 38
⇒ 0.
Since, remainder = 0.
∴ x - 2 is factor of x3 - 4x2 - 11x + 30.
Hence, Option 1 is the correct option.
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