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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