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Rasek [7]
3 years ago
12

Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Answer:

x+2 is a factor of f(x)  = 5x^2 + 13x + 6

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial f(x)  = 5x^2 + 13x + 6

We need to check if x  = -2 is the FACTOR of the given polynomial.

⇒ To show:  f (-2)  =  0

Now

f(-2)  = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26  = 0\\\implies f(-2) = 0

Since, f(-2) = 0

⇒  -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of f(x)  = 5x^2 + 13x + 6

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Answer:

16 +7= 23

Step-by-step explanation:

it's a addition problem

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Lamonte has 50 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth
MatroZZZ [7]

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let x represent the length and y represent the width. Hence:

x + 2y = 50

x = 50 - 2y

Also:

xy = 288

(50 - 2y)y = 288

y = 9; and y = 16

x = 32; and x = 18

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

Find out more on equation at: brainly.com/question/2972832

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6 0
1 year ago
The time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H, applied to the pot
Lera25 [3.4K]

Answer:

T = 96

Step-by-step explanation:

From the question given above, we were told that the time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H. This can be written as:

T ∝ 1/H

T = K/H

Cross multiply

K = TH

Next, we shall determine the value of K. This can be obtained as follow:

H = 8

T = 120

K =?

K = TH

K = 120 × 8

K = 960

Finally, we shall determine the value of T when H = 10. This can be obtained as illustrated below:

H = 10

K = 960

T =.?

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T = 960/10

T = 96

6 0
3 years ago
2,6,18,...<br> Find the 8th term.<br> Find the 8th term.
maw [93]

Answer:

4378

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Its clearly given that each term is multiplied by 3

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6×3= 18

and so on....

so here the G.P series is a=2 and r=3

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= 2×2187

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2 years ago
What is the solution set of the given system?
AVprozaik [17]

What is the system? (Is there supposed to be an image?)

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3 years ago
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