clefsammy910 clefsammy910

13-02-2024
Mathematics

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Find the connection between a and b such that 2x^4-7x^3+ax+b is divisible by x+5

Respuesta :

nikvist nikvist

13-02-2024

Answer:

Step-by-step explanation:

[tex]2x^4-7x^3+ax+b=Q(x)(x+5)\\x=-5\quad\Rightarrow\quad 2(-5)^4-7(-5)^3+a(-5)+b=0\\1250+875-5a+b=0\\b=5a-2125=5(a-425)[/tex]

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