What is the sum of the solutions to the equation (t+3)(t-357)=0" ? " Choose 1 answer: (A) -360 (B) -354 (C) 354 (D) 360

Set First Factor Equal: To find the sum of the solutions to the equation (t+3)(t-357)=0, we need to set each factor equal to zero and solve for t.Solve for First Factor: First, set the first factor equal to zero: t + 3 = 0. Solving for t gives us t = -3.Set Second Factor Equal: Next, set the second factor equal to zero: t - 357 = 0. Solving for t gives us t = 357.Solve for Second Factor: Now, we add the two solutions together to find the sum: (-3) + 357 = 354.Find Sum of Solutions: The sum of the solutions to the equation is 354, which corresponds to answer choice (C).

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What is the sum of the solutions to the equation

(t+3)(t-357)=0" ? "
Choose 1 answer:
(A) -360
(B) -354
(C) 354
(D) 360

What is the sum of the solutions to the equation $\newline$ $(t+3)(t-357)=0$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-360$ $\newline$ (B) $-354$ $\newline$ (C) $354$ $\newline$ (D) $360$

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Math Problems

Algebra 2

Sum of finite series starts from 1

Full solution

Q. What is the sum of the solutions to the equation

\newline

(t+3)(t-357)=0

\newline

Choose

1

answer:

\newline

(A)

-360

\newline

(B)

-354

\newline

(C)

354

\newline

(D)

360

Set First Factor Equal: To find the sum of the solutions to the equation $t+3)(t-357)=0\, we need to set each factor equal to zero and solve for \$t$ .
Solve for First Factor: First, set the first factor equal to zero: $t + 3 = 0$ . Solving for $t$ gives us $t = -3$ .
Set Second Factor Equal: Next, set the second factor equal to zero: $t - 357 = 0$ . Solving for $t$ gives us $t = 357$ .
Solve for Second Factor: Now, we add the two solutions together to find the sum: $(-3) + 357 = 354$ .
Find Sum of Solutions: The sum of the solutions to the equation is $354$ , which corresponds to answer choice $(C)$ .