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Bess [88]
3 years ago
8

If (x-2) is a factor of x^3+kx^2 +12x-8 then k=?

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

k = - 6

Step-by-step explanation:

Since (x - 2) is a factor then x = 2 is a root

Substitute x = 2 into the polynomial and equate to zero, that is

2³ + k(2)² + 12(2) - 8 = 0

8 + 4k + 24 - 8 = 0

4k + 24 = 0 ( subtract 24 from both sides )

4k = - 24 ( divide both sides by 4 )

k = - 6

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Reducing fraction and performing basic operation on fractions​
trapecia [35]
The answer is 5/3 can I have the some points
5 0
2 years ago
Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third a
guapka [62]

Answer:

<h2><em> 38°, 66° and 76°</em></h2>

Step-by-step explanation:

A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.

<A + <B + <C = 180° ...... 1

If the measure of one angle is twice the measure of a second angle then

<A = 2<B ...... 2

Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3

Substituting equations 2 and 3 into 1 will give;

(2<B) + <B + (3<B-48) = 180°

6<B- 48 = 180°

add 48 to both sides

6<B-48+48 = 180+48

6<B = 228

<B = 228/6

<B =38°

To get the other angles of the triangle;

Since <A = 2<B  from equation 2;

<A = 2(38)

<A = 76°

Also <C = 3<B-48 from equation 3;

<C = 3(38)-48

<C = 114-48

<C = 66°

<em>Hence the measures of the angles of the triangle are 38°, 66° and 76°</em>

4 0
3 years ago
The table represents the start of the division of 15x3 + x2 - 3x + 2 by 3x + 2.
9966 [12]
The result of dividing 15x^{3}+x^{2}-3x+2 by 3x+2 is 5 x^{2} -3x+1 with no remainder. Please check the step by step procedures in the picture attached.
We can conclude that:
The quotient of the division is 5 x^{2} -3x+1
The remainder of the division is 0
The divisor is 3x+2
The dividend is 15x^{3}+x^{2}-3x+2

4 0
3 years ago
How is 5.67 written in standard form
zvonat [6]
5.00+0.67+0.07 that's it I believe
4 0
2 years ago
Read 2 more answers
markus wants to get no less than 90 percent on his next test. Let x represent his possible score on the test
kherson [118]
X > 90 idk if thats what u mean or not
3 0
3 years ago
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