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anyanavicka [17]
3 years ago
15

If p − 1 is a factor of p4 + p2 + p − k, the value of k is

Mathematics
2 answers:
amid [387]3 years ago
6 0
Hello,


--------4----3----2----1----0
.........1.....0.....1.....1.....-k
p=1..........1.....1.....2 ....3  
.........1.....1.....2.....3.....0

==>-k+3=0==>k=3

lesantik [10]3 years ago
3 0

Answer:

k = 3.

Step-by-step explanation:

If p-1 is a factor of the polynomial, that is

p^4+p^2+p-k = (p-1)q(p)

with q(p) be another polynomial. Then with p=1 the polynomial is equal to 0. So,

1^4+1^2+1-k = 0

1+1+1-k = 0

3-k = 0

k = 3.

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2/5 k - 3/5 + 1/10 k
liraira [26]

Answer:

Step-by-step explanation:

2/ 5 k− 3 /5 k+ 1 /10 k = 2 /5 k+ −3 /5 k+ 1 /10 k

Combine Like Terms:

= 2 /5 k+ −3 /5 k+ 1 /10 k =( 2 /5 k+ −3 /5 k+ 1 /10 k)

= −1 /10 k

Answer:

= −1 /10 k

8 0
3 years ago
Read 2 more answers
Which two number are 5 unit away from 0 on the number line
geniusboy [140]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
The perimeter of a rectangle is 32 centimeters. the width is 7 centimeters.
Ilia_Sergeevich [38]
I hope this helps you

7 0
3 years ago
If the x-intercept (–68, 0), and the y-intercept (0, –34), what is the equation?
stealth61 [152]

y = - \frac{1}{2} x - 34

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 68, 0 ) and (x₂, y₂ ) = (0, - 34 )

m = \frac{-34-0}{0+68} = \frac{-34}{68} = - \frac{1}{2}

the y-intercept = (0, - 34 ) ⇒ c = - 34

y= - \frac{1}{2} x - 34


4 0
3 years ago
Read 2 more answers
Consider the line y=9x-5.
igomit [66]
Y = 9x - 5...the slope here is 9...a parallel line will have the same slope.

y = mx + b
slope(m) = 9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = 9(5) + b
-4 = 45 + b
-4 - 45 = b
-49 = b
so ur parallel line is : y = 9x - 49

y = 9x - 5...slope is 9. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/9.

y = mx + b
slope(m) = -1/9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = -1/9(5) + b
-4 = -5/9 + b
-4 + 5/9 = b
-36/9 + 5/9 = b
- 31/9 = b

so ur perpendicular line is : y = -1/9x - 31/9

6 0
3 years ago
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