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kondaur [170]
3 years ago
7

(x-2) is a factor of x^2-3x^2+kx+14. The value of k is?​

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

k = 5

Step-by-step explanation:

I will assume that your polynomial is

x^2 - 3x^2 + kx + 14

If x - a is a factor of this polynomial, then a is a root.

Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:

 2      /      1     -3     k     14

                        2     -2    2k - 4

         -------------------------------------

               1        -1    (k - 2)   2k - 10

If 2 is a root (if x - 2 is a factor), then the remainder must be zero.

Setting 2k - 10 = to zero, we get k = 5.

The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14

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3 years ago
The width of a rectangle is the length minus 3 units. The area of the rectangle is 10
sergeinik [125]

Answer:

w=2

Step-by-step explanation:

A=length times width (A=lw)

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Substituting in, we get:

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Now, solve the equation.

10= l^{2}-3l

l^{2}-3l-10=0

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Therefore, l= -2 or 5

Throw out the negative value because a length of rectangle will never be negative.

Now let's solve for width

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therefore

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3 years ago
Geometry ! No links please
DENIUS [597]

The Answer Is CD=5

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3 years ago
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dangina [55]
So set both equations equal to each other then solve out of x and plug it back into the x equation to find the angles so start with x+5=2x+10 then subtract x from 2x and you will have 1x then subtract 10 from 5 leaving you with negative 5 then x equals negative 5 and then plug it back into the equation so for example 2 times negative 5 equals negative 10 plus positive 10 equals 0 so therefore x equals 0
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