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3 years ago

(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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HELP I also need the answer to this

ser-zykov [4K]

Hey!

To divide fractions, you have to keep, change, flip.

Keep 3 1/2(7/2)

Change ÷ to ×

Flip 2 1/4(9/4) = 4/9

Now multiply the improper fractions

$\frac{7}{2} \times \frac{4}{9} = \frac{28}{18} = 1 \frac{10}{18} = 1 \frac{5}{9}$

The 1st choice matches the answer. The answer is the 1st choice.

Good luck and hope this helps! :)

5 0

3 years ago

You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t

lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

$Perimeter = 2 \times (Length + Width)$

Putting the values of perimeter and length to find the value of width.

$48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}$

So, width possible is 6ft.

3 0

3 years ago

15+ POINTS FOR BEST ANSWERS!!!!!

Varvara68 [4.7K]

Your guesses are correct.

3 0

3 years ago

Read 2 more answers

PLZ NEED HELP ASAP!!!

madam [21]

Answer:

C and D

Step-by-step explanation:

I had this same problem on my quiz

4 0

3 years ago

Identify the measure of PR in the diagram. PLEASE HELP!!

kykrilka [37]

Answer:

The correct answer is : Fourth, PR = 6

Step-by-step explanation:

PR is mid segment ( median line) of the side YZ in the triangle XYZ and is equal it's half.

PR = 1/2 YZ = 1/2 · 12 = 6

PR = 6

God with you!!!

3 0

3 years ago

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

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