if (x-2) is a
factor of
3x³ – 2x² + ax - 6 then the value of a =
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Answer:
9th
Maths
Polynomials
Factorisation of Polynomial
If (x3 + ax2 + bx + 6) has ...
MATHS
If (x3+ax2+bx+6) has (x−2) as a factor and leaves a remainder 3 when divided by (x−3), find the values of a and b.
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ANSWER
f(x)=x3+ax2+bx+6
(x−2) in a factor ⇒f(2)=0
f(2)⇒23+a(2)2+2b+6=0
⇒8+4a+2b+b=0
⇒4a+2b+14=0
⇒2a+b+7=0 -(1)
f(x−3)=3 (Remainder)
⇒f(3)⇒33+a(3)2+b×3+6=3
⇒27+9a+3b+b=3
⇒9a+3b+30=0
⇒3a+b+10=0 _____ (2)
From (1) & (2)
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