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 t = -3: 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 t = 357: Now, we find the sum of the solutions by adding t = -3 and t = 357 together. The sum is -3 + 357.Find Sum of Solutions: Perform the addition: -3 + 357 = 354.

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

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Algebra 2

Sum of finite series starts from 1

Full solution

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

(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 $t = -3$ : 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 $t = 357$ : Now, we find the sum of the solutions by adding $t = -3$ and $t = 357$ together. The sum is $-3 + 357$ .
Find Sum of Solutions: Perform the addition: $-3 + 357 = 354$ .