Consider the polynomial function g(x) = 3x2 + 4x – 5. Find: (a) g(0) (b) g(-2). We will substitute the value in the parentheses on the left-hand side of the equation for the letter on the right-hand side. Then we will follow the rule operations to simplify the right-hand side. To evaluate a polynomial means to find its numerical value, once we know the value of its variable. (a) g(x) = 3x² + 4x – 5 g(0) = 3(0)2 + 4(0) – 5 This is the given function. To find g(0), substitute 0 for x. 4(0)- Evaluate the power. + + 0 - 5 Perform the multiplications. g(0) = g(x) = 3x2 + 4x – 5 g(-2) = 3(-2)² + 4(-2) – 5 (b) This is the given function. To find g(-2), substitute -2 for x. = 3(0) + 4(0)-s Evaluate the power.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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I need help with all of them plz. 

Consider the polynomial function g(x) = 3x2 + 4x
5. Find:
(a)
g(0)
(b)
g(-2).
We will substitute the value in the parentheses on the left-hand side of the equation for the letter on the right-hand side. Then we will follow the rules for the order of
operations to simplify the right-hand side.
To evaluate a polynomial means to find its numerical value, once we know the value of its variable.
(a)
g(x) = 3x2 + 4x
This is the given function.
g(0) = 3(0)² + 4(0) – 5
To find g(0), substitute 0 for x.
%D
- 3(0) + «(0) -
Evaluate the power.
+ 0 - 5
Perform the multiplications.
g(0) =
(b)
g(x) = 3x2 + 4x – 5
This is the given function.
%3D
-
g(-2) = 3(-2)² + 4(-2) – 5
To find g(-2), substitute –2 for x.
- 3(0) + 4(0)
D: (-8) - 5
= 31
Evaluate the power.
Perform the multiplications.
g(-2) =
Consider the function h(x) = -x³ + x2 - 2x + 2.
(a) Find h(0).
(b) Find h(-3).
Transcribed Image Text:Consider the polynomial function g(x) = 3x2 + 4x 5. Find: (a) g(0) (b) g(-2). We will substitute the value in the parentheses on the left-hand side of the equation for the letter on the right-hand side. Then we will follow the rules for the order of operations to simplify the right-hand side. To evaluate a polynomial means to find its numerical value, once we know the value of its variable. (a) g(x) = 3x2 + 4x This is the given function. g(0) = 3(0)² + 4(0) – 5 To find g(0), substitute 0 for x. %D - 3(0) + «(0) - Evaluate the power. + 0 - 5 Perform the multiplications. g(0) = (b) g(x) = 3x2 + 4x – 5 This is the given function. %3D - g(-2) = 3(-2)² + 4(-2) – 5 To find g(-2), substitute –2 for x. - 3(0) + 4(0) D: (-8) - 5 = 31 Evaluate the power. Perform the multiplications. g(-2) = Consider the function h(x) = -x³ + x2 - 2x + 2. (a) Find h(0). (b) Find h(-3).
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