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Strike441 [17]
3 years ago
8

If (x+2) Is a factor of x^3-6x^2+kx+10 k=?

Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

The value of k is -11

Further explanation:

Any number being a factor states that the value of expression will be equal to zero at the factor.

Given

x^3-6x^2+kx+10

and

x+2 is a factor

x+2 = 0

x=-2

If x=-2 is a factor of given expression then the expression will be zero at x=-2

So.

(-2)^3-6(-2)^2+k(-2)+10 = 0\\-8-6(4)-2k+10 = 0\\-8-24-2k+10 = 0\\-22-2k=0\\-2k=22\\k = -11

The value of k is -11

Keywords: Synthetic division, Factorization

Learn more about synthetic division at:

  • brainly.com/question/5461619
  • brainly.com/question/8280736

#LearnwithBrainly

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Find the highest odd number that is a factor of 40 and a factor of 60.
Arte-miy333 [17]

Answer:

HCF (HIGHEST COMMON FACTOR) OR GCF ( GREATEST COMMON FACTOR) OF 40 AND 60 IS 20.

8 0
3 years ago
Simplify expression X^2+x-2/x^3-x^2+2x-2
professor190 [17]

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



7 0
3 years ago
What's 17x=18(1/3) ?
Mariulka [41]
<span>17x=18(1/3)
17x = 6
    x = 6/17

hope it helps</span>
7 0
3 years ago
PLSSSS HELPP ASSPPPP!!!!
Ne4ueva [31]
The rate of change is 1.5
8 0
3 years ago
WILL GIVE BRAINLIEST!
siniylev [52]

Answer:

48x² + 24x + 3

Step-by-step explanation:

Width = (4x + 1) in

Length = 3 *width = 3*(4x + 1) = 3*4x + 3*1

           = (12x + 3) in

Area of rectangle = length * width

                             = (12x + 3) (4x + 1)

                             = 12x *4x  + 12x *1  + 3*4x  + 3*1

                             = 48x² + 12x + 12x + 3

                              = 48x² + 24x + 3

8 0
3 years ago
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