Q. 3 B5.0( 1 Vote )

Using algebraic i

Answer :

(x – 5)(x – 4)(x + 2)


Here we have to use the identity


(x + a)(x + b)(x + c) = x3 + (a + b + c)x2 + (ab + bc + ca)x + abc


(x – 5)(x – 4)(x + 2)


= x3 + (– 5 – 4 + 2)x2 + {(– 5) × (– 4) + (– 4) × 2 + 2 × (– 5)}x + (– 5)(– 4)2


= x3 – 7x2 + (20 – 8 – 10)x + 40


= x3 – 7x2 + 2x + 40


Coefficient of


x2 = – 7


x = 2 and


Constant term = 40


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