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prisoha [69]
3 years ago
13

If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

The value of k is -11

Step-by-step explanation:

If (x+2) is a factor of x3 − 6x2 + kx + 10:

Then,

f(x)=x3 − 6x2 + kx + 10

f(-2)=0

f(-2)=(-2)³-6(-2)²+k(-2)+10=0

f(-2)= -8-6(4)-2k+10=0

f(-2)= -8-24-2k+10=0

Solve the like terms:

f(-2)=-2k-22=0

f(-2)=-2k=0+22

-2k=22

k=22/-2

k=-11

Hence the value of k is -11....

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What are the factors of 1,643? Please Help me!
Nuetrik [128]

Answer:

1, 31, 53, 1643 are the factors

Step-by-step explanation:

The factor pairs of 1,643 are:

1 × 1643 = 1,643

31 × 53 = 1,643

8 0
3 years ago
Read 2 more answers
Which of the following is the solution to the inequality −2x+4<20 ?
Simora [160]

Answer:

x is less than or equal to 16

Step-by-step explanation:

- 2 x x + 4 < 20

Isolate the variable

divide 2 from 2 = 0

x + 4 < 20

x is less than or equal to 16

6 0
3 years ago
The polynomial g(x) = 2x³ + 3x² + qx - 1, has the same remainder when divided by ( x + 2 ) and ( x - 1 ). Find the value of cons
Alisiya [41]

Answer:

q = -3.

Step-by-step explanation:

By the Remainder Theorem:

Remainder when dividing by x + 2 =  g(-2) and

the remainder when dividing by x - 1 =  g(1) .

So g(-2) = g(1) .

That is:

2(-2)^3 + 3(-2)^2 - 2q - 1 = 2(1)^3 + 3(1)^2 + q - 1

-16 + 12 - 2q - 1 = 2 + 3 + q - 1

-2q - q = 5 + 2 + 3 - 1

-3q = 9

q = -3.

6 0
3 years ago
What is the measure of the side adjacent to θ in the triangle shown below.
ra1l [238]
The hypotenuse is 13, then adjacent 12 (it touches angle theta) and opposite leg is 5.
4 0
3 years ago
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Need help with 76 and 78 please. Thank you . I will give a Brainly and extra points.
Svet_ta [14]

The set shows the value of the numbers will be:

a. 9

b. 65

<h3>How to illustrate the set?</h3>

76. It should be noted that the value of n(A × B) will be:

n(A) = 3.

n(B) = 3..

n(A × B)

= 3 × 3

= 9

78. n(A) = 13

n(B) = 5

n(A × B)

= 13 × 5

= 65

Therefore, the values are 9 and 65.

Learn more about set on:

brainly.com/question/2166579

#SPJ1

7 0
1 year ago
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