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Exercice 4 : Soit l’expression I = ( 2x + 7 )( x – 4 ) + 4x² + 28x + 49.
a. Développe I.
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b. Factorise 4x² + 28x + 49.
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c. En déduire (en factorisant I ) que I = ( 2x + 7 )( 3x + 3 ).
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Question

Answered

Sagot :

INEQUATION INEQUATION · Answer 1 · 2020-11-23T12:17:04+01:00

Bonjour,

Développer :

I = ( 2x + 7 )( x – 4 ) + 4x² + 28x + 49.

I= 2x²+7x-8x-28+4x²+28x+49

I= 6x²+27x+21

Factorise :

4x² + 28x + 49= (2x+7)² ir

Déduire:

I = ( 2x + 7 )( 3x + 3 )

I= 6x²+21x+6x+21

I= 6x²+27x+21

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