andybiersack154
andybiersack154 andybiersack154
  • 12-12-2020
  • Mathematics
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what values of a,b,c make this equation true? (2x-5)(x+2)+(ax^2+bx+c)=6x^2-4x-7

what values of abc make this equation true 2x5x2ax2bxc6x24x7 class=

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meandmycousinmagic
meandmycousinmagic meandmycousinmagic
  • 12-12-2020

Answer:

A - a = 4, b = -3, c = 3

Step-by-step explanation:

When you substitute in a, b, and c you get

(2x - 5) (x + 2) + (4x^2 + -3x + 3)

collect like terms

(2x)(x) + (2x)(2) + (−5)(x) + (−5)(2) + 4x^2 + −3x + 3

combine like terms

2x^2 + 4x + −5x + −10 + 4x^2 + −3x + 3

(2x^2 + 4x^2) + (4x + −5x + −3x) + (−10 + 3)

6x^2 + −4x + −7

6x^2 + −4x −7

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