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The sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.
What is polynomial?
Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have:
First expression:
[tex]\rm 4x^2-4x+10[/tex]
Second expression:
[tex]\rm 2x^2+5x-8[/tex]
Let's denote the sum of these two expressions with F(x)
[tex]\rm F(x) = \rm 4x^2-4x+10+\rm 2x^2+5x-8\\\\\\\rm F(x) = 6x^2+x+2[/tex]
Thus, the sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.
Learn more about Polynomial here:
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