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Alchen [17]
2 years ago
7

The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squar

ed, plus, 32 has a known factor of (x-4)(x−4)left parenthesis, x, minus, 4, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.
Mathematics
1 answer:
Ray Of Light [21]2 years ago
8 0

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Given p(x) = x^3-6x^2+32 when it is divided by  x - 4, the quotient gives

x^2-2x-8

Q(x) = P(x)/d(x)

x^3-6x^2+32/x- 4  =  x^2-2x-8

Factorizing the quotient

x^2-2x-8

x^2-4x+2x-8

x(x-4)+2(x-4)

(x-4)(x+2)

Hence the polynomial as a product if linear terms is (x-4)(x-4)(x+2)

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Substitute the original value of x to check that the equation is correct. x = 4 or f(x)= ?​
hichkok12 [17]

Answer:

f(4)

Step-by-step explanation:

7 0
3 years ago
|1/4 x +2| -3 =5 solve for x and graph on number line
kaheart [24]

The value of x on the number line is 24 and - 40

A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.

The given equation is

|\frac{1}{4}x+2 | -3=5

Solving the equation:

or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32

Now we take the two separate values of x:

either x=-8+32 or x=-8-32

or,x=24 or x=-40

The value of x is 24 and - 40.

To learn more about number line:

brainly.com/question/24644930

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7 0
1 year ago
Working 6 days, a worker earned<br> 150000 LL<br> a) How much will he earn by working 21<br> days?
Mila [183]

Answer:

525,000 LL

Step-by-step explanation:

6 x 3 = 18 (days)

150,000 x 3 = 450,000

21 - 18 = 3 so 6 * 2 = 3 ( 150,000 *(divide)  2 = 75,000)

so 450,000 + 75,000 = 525,000

7 0
3 years ago
Solve for x. Show your work.<br><br> -1/2 x &lt; -12
lesantik [10]
All you need to do is divide -1/2 onto the other side.

-1/2x<-12

-12/ (-1/2)= 6 (a negative and a negative equals a positive)

Also, since you are dividing a negative, you flip the sign.

x>6

I hope this helps!
~cupcake
3 0
3 years ago
Read 2 more answers
Given the function below, select all the equalities select all that are true.
torisob [31]

Answer:

A is true

B is false

C is true

D is true

E is false

5 0
3 years ago
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