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 zero: The equation given is (t+3)(t-357)=0. To find the sum of the solutions, we need to set each factor equal to zero and solve for t. First, set the first factor equal to zero: t + 3 = 0. Solving for t gives us t = -3.Set second factor equal to zero: Now, set the second factor equal to zero: t - 357 = 0. Solving for t gives us t = 357.Calculate sum of solutions: The sum of the solutions is the sum of the two values of t we found: -3 + 357. Calculating the sum gives us 354.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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 $\newline$ $(t+3)(t-357)=0 \text { ? }$ $\newline$ Choose $1$ answer: $\newline$ (A) $-360$ $\newline$ (B) $-354$ $\newline$ (C) $354$ $\newline$ (D) $360$

View step-by-step help

Full solution

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

\newline

(t+3)(t-357)=0 \text { ? }

\newline

Choose

1

answer:

\newline

(A)

-360

\newline

(B)

-354

\newline

(C)

354

\newline

(D)

360

Set first factor equal to zero: The equation given is $(t+3)(t-357)=0$ . To find the sum of the solutions, we need to set each factor equal to zero and solve for $t$ . $\newline$ First, set the first factor equal to zero: $t + 3 = 0$ . $\newline$ Solving for $t$ gives us $t = -3$ .
Set second factor equal to zero: Now, set the second factor equal to zero: $t - 357 = 0$ . $\newline$ Solving for $t$ gives us $t = 357$ .
Calculate sum of solutions: The sum of the solutions is the sum of the two values of $t$ we found: $-3 + 357$ . $\newline$ Calculating the sum gives us $354$ .