1.

Simplify and find the value of the expression 5x2 – 4 – 3x2 + 6x + 8 + 5x – 13 when x = – 2.

Answer»

Given expression is

5x2 – 4 – 3x2 + 6x + 8 + 5x – 13  

= (5x2 – 3x2 ) + (6x + 5x) + (-4 + 8 – 13) 

= (5 – 3)x2 + (6 + 5)x + (- 9) 

= 2x2 + 11x – 9 

If x = – 2, then 2x2 + 11x – 9 

= 2(- 2)2 + 11 (- 2) – 9 

= 2(4) – 22 – 9 

= 8 – 22 – 9 

∴ If x = – 2, then 2x2 + 11x – 9 = – 23



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