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3 years ago

Is x-8 a factor of p(x)= x3-9x2+12x-17

Mathematics

1 answer:

BartSMP [9]3 years ago

8 0

x-8 is not a factor of $p(x) = x^3-9x^2+12x-17$

Step-by-step explanation:

In order to check whether a term is factor of given expression or not we put the value in the expression. If the expression is zero, then the value is a factor otherwise not.

Given polynomial is:

$p(x) = x^3-9x^2+12x-17$

We have to check if x-8 is factor of given polynomial or not. for that purpose we have to put

$x-8 = 0\\x = 8$

Putting in the polynomial

$p(x) = (8)^3 - 9(8)^2+12(8)-17\\= 512 - 8(64) + 96 - 17\\= 512-512+96-17\\=79$

Hence,

x-8 is not a factor of $p(x) = x^3-9x^2+12x-17$

Keywords: Polynomials, expressions

Learn more about polynomials at:

#LearnwithBrainly

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Please answer this correctly

ArbitrLikvidat [17]

Answer:

326

Step-by-step explanation:

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3 0

3 years ago

Kevin runs a farm stand that sells apples and raspberries. Each pound of apples sells for $3.50 and each pound of raspberries se

krek1111 [17]

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Step-by-step explanation:

Given,

Cost per pound of apples = $3.50

Cost per pound of raspberries = $4

Total amount earned = $115

Let,

x represent the pounds of apples sold

y represent the pounds of raspberries sold

According to given statement;

3.50x+4y=115 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$3.50x+4(2x)=115\\3.50x+8x=115\\11.50x=115$

Dividing both sides by 11.50

$\frac{11.50x}{11.50}=\frac{115}{11.50}\\x=10$

Putting x=10 in Eqn 2

$y=2(10)\\y=20$

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

The point A (5,11) is reflected across the x-axis. How long is the segment AA'?

Nikitich [7]

Answer: The required length of the segment AA' is 11 units.

Step-by-step explanation: Given that the point A(5, 11) is reflected across the X-axis.

We are to find the length of the segment AA'.

We know that

if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).

So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).

Now, we have the following distance formula :

The DISTANCE between two points P(a, b) and Q(c, d) gives the length of the segment PQ as follows :

$PQ=\sqrt{(c-a)^2+(d-b)^2}.$

Therefore, the length of the segment AA' is given by

$AA'=\sqrt{(5-5)^2+(-11-11)^2}=\sqrt{11^2}=11.$

Thus, the required length of the segment AA' is 11 units.

7 0

3 years ago

(115) the product of integers x, y, and z is even. is z even?

djyliett [7]

1. X/Y = Z

if x = 6, y = 2, then z = 3, not even

if x = 6, y = 3, then z = 2, even

2. Z=XY 

so (z)^2 = 2*k (because x*y*z = 2k, where k is an integer)

Sufficient, as if square of an integer is even ,then the integer is even

5 0

3 years ago

Tiffany, Lori, and Mika are practicing for an egg-toss contest. The distance from Tiffany to Lori is 17 inches. The distance fro

Sloan [31]

If you add all of the numbers together the answer your going to get is 17+32+28 which equals 77

5 0

3 years ago