Perform the operation. (4x^(2)+7x-10)+(-7x^(2)+3x-4) Answer:

Identify Polynomials: Identify the polynomials to be added. We have two polynomials: 4x^(2)+7x-10 and -7x^(2)+3x-4. We need to add these polynomials together by combining like terms.Add Polynomials: Add the polynomials together. (4x^(2)+7x-10) + (-7x^(2)+3x-4) Combine the x^2 terms, the x terms, and the constant terms separately. (4x^(2) - 7x^(2)) + (7x + 3x) + (-10 - 4)Simplify Expression: Simplify the expression by combining like terms. (4x^(2) - 7x^(2)) + (7x + 3x) + (-10 - 4) = -3x^(2) + 10x - 14

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Perform the operation.

(4x^(2)+7x-10)+(-7x^(2)+3x-4)
Answer:

Perform the operation. $\newline$ $\left(4 x^{2}+7 x-10\right)+\left(-7 x^{2}+3 x-4\right)$ $\newline$ Answer:

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Math Problems

Algebra 2

Add and subtract polynomials

Full solution

Q. Perform the operation.

\newline

\left(4 x^{2}+7 x-10\right)+\left(-7 x^{2}+3 x-4\right)

\newline

Answer:

Identify Polynomials: Identify the polynomials to be added. $\newline$ We have two polynomials: $4x^{2}+7x-10$ and $-7x^{2}+3x-4$ . We need to add these polynomials together by combining like terms.
Add Polynomials: Add the polynomials together. $\newline$ $(4x^{2}+7x-10) + (-7x^{2}+3x-4)$ $\newline$ Combine the $x^2$ terms, the $x$ terms, and the constant terms separately. $\newline$ $(4x^{2} - 7x^{2}) + (7x + 3x) + (-10 - 4)$
Simplify Expression: Simplify the expression by combining like terms. $\newline$ $(4x^{2} - 7x^{2}) + (7x + 3x) + (-10 - 4)$ $\newline$ $= -3x^{2} + 10x - 14$