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Je dois factoriser ça : - 2 (X-4)² (X-1) + X² + 42 X + 41

 

Aidez moi svp

Sagot :

- 2 (X-4)² (X-1) + X² - 42 X + 41

= - 2 (X-4)² (X-1) + (X-1)(X-41)

=(x-1)(-2(x-4)²+x-41)

=(x-1)(-2(x²-8x+16)+x-41)

=(x-1)(-2x²+16x-32+x-41)

=(x-1)(-2x²+17x-73)