Express as a trinomial. (2x-5)(x+1) Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the first terms, the outer terms, the inner terms, and the last terms of the binomials (2x-5) and (x+1). (2x-5)(x+1) = (2x * x) + (2x * 1) + (-5 * x) + (-5 * 1)Perform Multiplication: Perform the multiplication for each pair of terms. (2x * x) = 2x^2 (2x * 1) = 2x (-5 * x) = -5x (-5 * 1) = -5Combine Like Terms: Combine the like terms from the multiplication results. 2x^2 + 2x - 5x - 5Simplify Expression: Simplify the expression by combining the like terms 2x and -5x. 2x^2 + (2x - 5x) - 5 2x^2 - 3x - 5

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Express as a trinomial.

(2x-5)(x+1)
Answer:

Express as a trinomial. $\newline$ $(2 x-5)(x+1)$ $\newline$ Answer:

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Algebra 1

Multiply two binomials

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Q. Express as a trinomial.

\newline

(2 x-5)(x+1)

\newline

Answer:

Apply Distributive Property: Apply the distributive property (also known as the FOIL method) to multiply the first terms, the outer terms, the inner terms, and the last terms of the binomials $(2x-5)$ and $(x+1)$ . $(2x-5)(x+1) = (2x \cdot x) + (2x \cdot 1) + (-5 \cdot x) + (-5 \cdot 1)$
Perform Multiplication: Perform the multiplication for each pair of terms. $\newline$ $(2x \times x) = 2x^2$ $\newline$ $(2x \times 1) = 2x$ $\newline$ $(-5 \times x) = -5x$ $\newline$ $(-5 \times 1) = -5$
Combine Like Terms: Combine the like terms from the multiplication results. $2x^2 + 2x - 5x - 5$
Simplify Expression: Simplify the expression by combining the like terms $2x$ and $-5x$ . $2x^2 + (2x - 5x) - 5$ $2x^2 - 3x - 5$