Add 5x^2+19x+24 , -7x^2+12x+9 , -x^2-9x+11

Problem

(5*x2+19*x+24)+(−7*x2+12*x+9)+(−x2−9*x+11)

Solution

1. Group the like terms by their powers of x

(5*x2−7*x2−x2)+(19*x+12*x−9*x)+(24+9+11)

2. Combine the coefficients of the x2 terms.

5−7−1=−3

−3*x2

3. Combine the coefficients of the x terms.

19+12−9=22

22*x

4. Combine the constant terms.

24+9+11=44

44

5. Sum the resulting terms to find the final expression.

−3*x2+22*x+44

Final Answer

(5*x2+19*x+24)+(−7*x2+12*x+9)+(−x2−9*x+11)=−3*x2+22*x+44

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