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Find a and b if x+1 and x+2 are factors of x³+ 3x²- 2ax+ b.

Posted by Aaryan Shukla 4 years, 8 months ago

CBSE > Class 09 > Mathematics

1 answers

Dipanshu Dhiman 4 years, 8 months ago

x+1=0 x=-1 p (x)=0 p (x)=x^3+3x^2-2ax+b=0 P (-1)=-1^3+3 (-1)^2 - 2 (-1)(a)+b=0 =-1+3+2a+b=0 =2+2a+b=0 =2a+b=-2 ---------------(1) x+2=0 x=-2 P (x)=-2^3+3 (-2)^2-2 (-2)a+b=0 =-8+12+4a+b=0 =4+4a+b=0 =4a+b=-4 --------------(2) Subtracting (1)and (2) equ. 2a + b = -2 -(4a +b = -4) - - + ................................. -2a=2 a=2/-2 a=-1 Putting these value in equ. (1) 2a+b=-2 2 (-1)+b=-2 -2+b=-2 b=0 Hence, the value of a & b is -1 & 0

1Thank You

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CBSE > Class 09 > Mathematics