G(x)=(x-a)(x-b)(x-c) A polynomial function G has zeros of 5,-(3)/(2), and (1)/(2). If polynomial G is defined for constants a,b, and c, then what is the value of a+b+c ?

Identify Zeros: Identify the zeros of the polynomial function G(x). The zeros of the polynomial function are given as 5, -(3/2), and (1/2). These zeros correspond to the values of a, b, and c.Relate to Constants: Relate the zeros to the constants a, b, and c. Since the zeros of the polynomial are the values for which G(x) = 0, we can say that a = 5, b = -(3/2), and c = (1/2).Calculate Sum: Calculate the sum of the constants a, b, and c. To find the value of a+b+c, we simply add the constants together: a + b + c = 5 + (-(3/2)) + (1/2).Perform Addition: Perform the addition to find the sum. a + b + c = 5 - (3/2) + (1/2) = 5 - 1.5 + 0.5 = 5 - 1 = 4.

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G(x)=(x-a)(x-b)(x-c)
A polynomial function
G has zeros of
5,-(3)/(2), and
(1)/(2). If polynomial
G is defined for constants
a,b, and
c, then what is the value of
a+b+c ?

$G(x)=(x-a)(x-b)(x-c)$ $\newline$ A polynomial function $G$ has zeros of $5,-\frac{3}{2}$ , and $\frac{1}{2}$ . If polynomial $G$ is defined for constants $a, b$ , and $c$ , then what is the value of $a+b+c$ ?

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G(x)=(x-a)(x-b)(x-c)

\newline

A polynomial function

G

has zeros of

5,-\frac{3}{2}

, and

\frac{1}{2}

. If polynomial

G

is defined for constants

a, b

, and

c

, then what is the value of

a+b+c

Identify Zeros: Identify the zeros of the polynomial function $G(x)$ . $\newline$ The zeros of the polynomial function are given as $5$ , $-\left(\frac{3}{2}\right)$ , and $\left(\frac{1}{2}\right)$ . These zeros correspond to the values of $a$ , $b$ , and $c$ .
Relate to Constants: Relate the zeros to the constants $a$ , $b$ , and $c$ . $\newline$ Since the zeros of the polynomial are the values for which $G(x) = 0$ , we can say that $a = 5$ , $b = -\left(\frac{3}{2}\right)$ , and $c = \left(\frac{1}{2}\right)$ .
Calculate Sum: Calculate the sum of the constants $a$ , $b$ , and $c$ . $\newline$ To find the value of $a+b+c$ , we simply add the constants together: $a + b + c = 5 + (-(\frac{3}{2})) + (\frac{1}{2})$ .
Perform Addition: Perform the addition to find the sum. $a + b + c = 5 - \left(\frac{3}{2}\right) + \left(\frac{1}{2}\right) = 5 - 1.5 + 0.5 = 5 - 1 = 4$ .