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(3x^(2)-7x)+(5x^(2)+13)
The given expression can be written as 
ax^(2)+bx+c, where 
a,b, and 
c are constants. What is the value of 
a ?

(3x27x)+(5x2+13) \left(3 x^{2}-7 x\right)+\left(5 x^{2}+13\right) \newlineThe given expression can be written as ax2+bx+c a x^{2}+b x+c , where a,b a, b , and c c are constants. What is the value of a a ?

Full solution

Q. (3x27x)+(5x2+13) \left(3 x^{2}-7 x\right)+\left(5 x^{2}+13\right) \newlineThe given expression can be written as ax2+bx+c a x^{2}+b x+c , where a,b a, b , and c c are constants. What is the value of a a ?
  1. Combine like terms: Combine like terms by adding the coefficients of the x2x^2 terms from both expressions.(3x2+5x2)=8x2(3x^{2} + 5x^{2}) = 8x^{2}
  2. Identify coefficient: Identify the coefficient of the x2x^2 term in the simplified expression.\newlineThe coefficient of x2x^2 is 88.
  3. Find value of aa: The value of aa is the coefficient of the x2x^2 term in the expression.\newlineTherefore, a=8a = 8.

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