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If the product (3x^2 - 5x + 4)(7 - x) can be written in the form ax^3 + bx^2 + cx + d, where a,b,c,d are real numbers, then find 8a + 4b + 2c + d.

 Jun 19, 2021
 #1
avatar+526 
+2

(3x25x+4)(7x)=3x3+26x239x+28

a = -3, b = 26, c = -39 and d = 28

 

8a + 4b + 2c + d = 30

 Jun 19, 2021
 #2
avatar+287 
+2

Alternatively
8a+4b+2c+d=a22+b22+c2+d=(32252+4)(72)=65=30.
 

 Jun 19, 2021

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