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2 years ago

PLS HELP ILL MARK CROWN

Mathematics

2 answers:

jok3333 [9.3K]2 years ago

6 0

Answer:

4x−7

Step-by-step explanation:

Being given our polynomial:

$4x^{2}$ + x - 14,

We must find the roots to get our answer.

x = (- 1 ± √(1 - 4*4*(-14)) / 8

x = (- 1 ± √225) / 8

x = ( -1 ± 15) / 8

x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4

x₂ = (- 1 - 15) / 8 = - 16/2 = - 8

The factors we came up with:

(x - x₁)(x - x₂)

(x - 7/4)(x + 8)

1/4(4x - 7)(x + 8)

So,

The correct option is C.

ahrayia [7]2 years ago

3 0

Answer:

4x-7 and x+2

Step-by-step explanation:

x+2 actually divides into 4x^2+-14 perfectly using synthetic division. it leaves 4x-7.

this means 4x-7 and x+2 are both factors.

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Answer:

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3 years ago

Read 2 more answers

What is the equation, in standard form of the parabola that contains the following points? (-2,18), (0,2), (4,42)

Vladimir79 [104]

Answer: y = 3 $x^{2}$ - 2x + 2

Step-by-step explanation:

The equation in standard form of a parabola is given as :

y = $ax^{2}$ + bx + c

The points given are :

( -2 , 18 ) , ( 0,2) , ( 4 , 42)

This means that :

$x_{1}$ = -2

$x_{2}$ = 0

$x_{3}$ = 4

$y_{1}$ = 18

$y_{2}$ = 2

$y_{3}$ = 42

All we need do is to substitute each of this points into the equation , that is , $x_{1}$ and $y_{1}$ will be substituted to get an equation , $x_{2}$ and $y_{2}$ will be substituted to get an equation and $x_{3}$ , $y_{3}$ will also be substituted to get an equation also.

Starting with the first one , we have :

y = $ax^{2}$ + bx + c

18 = a[ $(-2)^{2}$ ] + b (-2) + c

18 = 4a - 2b + c

Therefore :

4a - 2b + c = 18 ................ equation 1

substituting the second values , we have

2 = a (0) + b ( 0) + c

2 = c

Therefore c = 2 ............... equation 2

also substituting the third values , we have

42 = a[ $(4)^{2}$ ] + b (4) + c

42 = 16a + 4b + c

Therefore

16a + 4b + c = 42 ........... equation 3

Combining the three equations we have:

4a - 2b + c = 18 ................ equation 1

c = 2 ............... equation 2

16a + 4b + c = 42 ........... equation 3

Solving the resulting linear equations:

substitute equation 2 into equation 1 and equation 3 ,

substituting into equation 1 first we have

4a - 2b + 2 = 18

4a - 2b = 16

dividing through by 2 , we have

2a - b = 8 ............... equation 4

substituting c = 2 into equation 3 , we have

16a + 4b + c = 42

16a + 4b + 2 = 42

16a + 4b = 40

dividing through by 4 , we have

4a + b = 10 ................ equation 5

combining equation 4 and 5 , we have

2a - b = 8 ............... equation 4

4a + b = 10 ................ equation 5

Adding the two equations to eliminate b , we have

6a = 18

a = 18/6

a = 3

Substituting a = 3 into equation 4 to find the value of b , we have

2(3) - b = 8

6 - b = 8

b = 6 - 8

b = -2

Therefore :

a = 3 , b = -2 and c = 2

Substituting these values into the equation of parabola in standard form , we have

y = 3 $x^{2}$ - 2x + 2

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3 years ago