Which of the following is equivalent to the expression x^(2)+3x-10 ? Choose 1 answer: (A) (x-2)(x-5) (B) (x-2)(x+5) (C) (x+2)(x-5) (D) (x+2)(x+5)

Identify the structure: Identify the structure of the given expression. The expression x^2 + 3x - 10 is a quadratic expression, which can often be factored into the product of two binomials.Find two numbers: Find two numbers that multiply to -10 and add to 3. We are looking for two numbers that when multiplied give us -10 (the constant term) and when added give us 3 (the coefficient of the x term).Determine the two numbers: Determine the two numbers. The numbers that satisfy these conditions are 5 and -2 because 5 * (-2) = -10 and 5 + (-2) = 3.Write as a product: Write the expression as a product of two binomials using the numbers found in Step 3. The expression can be written as (x + 5)(x - 2).Match with given choices: Match the factored expression with the given choices. The factored expression (x + 5)(x - 2) matches choice (B) (x - 2)(x + 5).

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Which of the following is equivalent to the expression
x^(2)+3x-10 ?
Choose 1 answer:
(A)
(x-2)(x-5)
(B)
(x-2)(x+5)
(C)
(x+2)(x-5)
(D)
(x+2)(x+5)

Which of the following is equivalent to the expression $x^{2}+3 x-10$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $(x-2)(x-5)$ $\newline$ (B) $(x-2)(x+5)$ $\newline$ (C) $(x+2)(x-5)$ $\newline$ (D) $(x+2)(x+5)$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which of the following is equivalent to the expression

x^{2}+3 x-10

\newline

Choose

1

answer:

\newline

(A)

(x-2)(x-5)

\newline

(B)

(x-2)(x+5)

\newline

(C)

(x+2)(x-5)

\newline

(D)

(x+2)(x+5)

Identify the structure: Identify the structure of the given expression. $\newline$ The expression $x^2 + 3x - 10$ is a quadratic expression, which can often be factored into the product of two binomials.
Find two numbers: Find two numbers that multiply to $-10$ and add to $3$ . $\newline$ We are looking for two numbers that when multiplied give us $-10$ (the constant term) and when added give us $3$ (the coefficient of the $x$ term).
Determine the two numbers: Determine the two numbers. $\newline$ The numbers that satisfy these conditions are $5$ and $-2$ because $5 \times (-2) = -10$ and $5 + (-2) = 3$ .
Write as a product: Write the expression as a product of two binomials using the numbers found in Step $3$ . $\newline$ The expression can be written as $(x + 5)(x - 2)$ .
Match with given choices: Match the factored expression with the given choices. $\newline$ The factored expression $(x + 5)(x - 2)$ matches choice (B) $(x - 2)(x + 5)$ .