Express as a trinomial. (x+7)(x+3) Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials (x+7) and (x+3). (x+7)(x+3) = x(x) + x(3) + 7(x) + 7(3)Perform Multiplication: Perform the multiplication for each term. x(x) = x^2 x(3) = 3x 7(x) = 7x 7(3) = 21Combine Like Terms: Combine like terms. x^2 + 3x + 7x + 21 = x^2 + (3x + 7x) + 21Add Coefficients: Add the coefficients of the x terms. 3x + 7x = 10xWrite Final Trinomial: Write the final trinomial. x^2 + 10x + 21

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Express as a trinomial.

(x+7)(x+3)
Answer:

Express as a trinomial. $\newline$ $(x+7)(x+3)$ $\newline$ Answer:

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Algebra 1

Multiply two binomials

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Q. Express as a trinomial.

\newline

(x+7)(x+3)

\newline

Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the two binomials $(x+7)$ and $(x+3)$ . $(x+7)(x+3) = x(x) + x(3) + 7(x) + 7(3)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $x(x) = x^2$ $\newline$ $x(3) = 3x$ $\newline$ $7(x) = 7x$ $\newline$ $7(3) = 21$
Combine Like Terms: Combine like terms. $\newline$ $x^2 + 3x + 7x + 21 = x^2 + (3x + 7x) + 21$
Add Coefficients: Add the coefficients of the $x$ terms. $3x + 7x = 10x$
Write Final Trinomial: Write the final trinomial. $x^2 + 10x + 21$