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konstantin123 [22]
3 years ago
8

Brainliest 5 stars Thanks! Use the Remainder Theorem.

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

Answer:

If f(1)=0 then 1 is a root and (x-1) is a factor of f(x). divide f(x) by (x-1). you now have a quadratic. Find its roots by methods you know.  

actually this factors by grouping:

f(x)=x³+3x²-x-3

= x²(x+3)-1(x+3)

=(x+3)(x²-1)

=(x+3)(x-1)(x+1) // difference of squares

By zero product property roots are

-3, -1, 1

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1. A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit
kykrilka [37]

Answer: The rabbit is hopping at 3 feet/ sec in speed

Step-by-step explanation:

Step 1

Let the The number of feet of the rabbit be expressed as N

AND  time rabbit spends hopping can be expressed  as  t

From the question,  The number of feet varies directly with the time rabbit spends hopping can be expressed  as

N α t

Let us introduce a constant of proportionality ,S which represents  speed in this case, we now have that

N = St

STEP 2 -- SOLVING

If the rabbit hop 6 feet in 2 seconds, Then speed =

N = St

6=  S X2

S = 6/ 2

S = 3

also

If the rabbit hop 12 feet in 4 seconds, Then speed =

N = St

12=  S X 4

S = 12/ 4

S = 3

Also recall

that Speed = Distance / time

Pluging the values in the first case,

speed = 6 feet/ 2 secconds = 3 feet/ seconds

in the second case

Speed= 12 feet/ 4 second s= 3 feet/ secs.

5 0
3 years ago
How do I solve this finding the first four of the sequence?
Gemiola [76]

Answer:

300,350,400,450

Step-by-step explanation:

the formula for any n term is:

tn=a1+(n-1)d

t1= 300+(1-1)d=300

t2= 300+(2-1)50= 350

t3= 300+(3-1)50= 400

t4= 300+(4-1)50 = 450

and so on...

5 0
3 years ago
What is the base (in inches) of a triangle with an area of 161 square inches and a height of 14 inches?
pantera1 [17]

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7 0
2 years ago
7/18 times 3 in simplest form
IRISSAK [1]

Answer:

21/18 which simplifies to <u>7/6</u>

Step-by-step explanation:

5 0
3 years ago
What type of lines are shown on the graph on the right? Explain your answer.
Trava [24]

Answer: <em>Parallel lines</em>

Step-by-step explanation:

<em>These lines are </em><em>Parallel</em><em> due to the fact that they will never cross each other. Since they are both perfectly lined up with each other, this makes them </em><em>Parallel.</em>

6 0
3 years ago
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