Express as a trinomial. (x+7)(2x+2) Answer:

Apply Distributive Property: Apply the distributive property to multiply the two binomials (x+7) and (2x+2). We will use the FOIL method, which stands for First, Outer, Inner, Last, to multiply each term in the first binomial by each term in the second binomial. First: x * 2x = 2x^2 Outer: x * 2 = 2x Inner: 7 * 2x = 14x Last: 7 * 2 = 14Combine Like Terms: Combine like terms from the results of the FOIL method. We have the terms 2x^2, 2x, 14x, and 14. The like terms are 2x and 14x. 2x^2 + 2x + 14x + 14 = 2x^2 + (2x + 14x) + 14 = 2x^2 + 16x + 14Write Final Trinomial: Write the final simplified trinomial expression. The expression 2x^2 + 16x + 14 is already simplified and is the trinomial we were looking for.

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Express as a trinomial.

(x+7)(2x+2)
Answer:

Express as a trinomial. $\newline$ $(x+7)(2 x+2)$ $\newline$ Answer:

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Math Problems

Algebra 1

Multiply two binomials

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Q. Express as a trinomial.

\newline

(x+7)(2 x+2)

\newline

Answer:

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(x+7)$ and $(2x+2)$ . We will use the FOIL method, which stands for First, Outer, Inner, Last, to multiply each term in the first binomial by each term in the second binomial. First: $x \times 2x = 2x^2$ Outer: $x \times 2 = 2x$ Inner: $7 \times 2x = 14x$ Last: $7 \times 2 = 14$
Combine Like Terms: Combine like terms from the results of the FOIL method. $\newline$ We have the terms $2x^2$ , $2x$ , $14x$ , and $14$ . The like terms are $2x$ and $14x$ . $\newline$ $2x^2 + 2x + 14x + 14$ $\newline$ $= 2x^2 + (2x + 14x) + 14$ $\newline$ $= 2x^2 + 16x + 14$
Write Final Trinomial: Write the final simplified trinomial expression. $\newline$ The expression $2x^2 + 16x + 14$ is already simplified and is the trinomial we were looking for.