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Find the sum of (3x2 + 18x – 7) and (-13x2 + 7x – 11)A –13x3 + 3x2 + 25x – 18B –13x3 + 10x2 + 7x – 7C-13x3 + 10x2 + 18x – 18D -10x2 + 25x – 18

Sagot :

Answer:

The correct option is D, the sum of the given polynomials is

[tex]-10x^2+25x-18[/tex]

Explanation:

To find the sum of:

[tex]3x^2+18x-7[/tex]

and

[tex]-13x^2+7x-11[/tex]

We write:

[tex]\begin{gathered} (3x^2+18x-7)+(-13x^2+7x-11) \\ =3x^2+18x-7-13x^2+7x-11 \end{gathered}[/tex]

Collect like terms:

[tex]\begin{gathered} 3x^2-13x^2+18x+7x-7-11 \\ =-10x^2+25x-18 \end{gathered}[/tex]