All categories

2 years ago

For the polynomial p(x), p(– 8) = 0. Which of these must be a factor of p(x)?

Mathematics

1 answer:

wolverine [178]2 years ago

4 0

Answer: x + 8 must be the factor of the given polynomial p(x).

Step-by-step explanation:

Here, p(x) is a polynomial in which p(-8) =0

By the reminder theorem,

When a polynomial, f(x), is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a).

That is when we divide p(x) by x+8 the reminder is p(-8)

⇒ when we divide p(x) by x+8 the reminder is 0.

Therefore, x+8 is a factor of p(x).

You might be interested in

A man buys a washing machine whose price VAT (value added Tax ) is Birr 175. lts VAT is charged at 15 % ,how much did the man ac

Ad libitum [116K]

9514 1404 393

Answer:

Birr 1341.67

Step-by-step explanation:

The tax is 15% of the price (p), so we have ...

0.15p = 175

p = 175/0.15 = 1166.67

When the tax is added, the total comes to ...

1166.67 +175 = 1341.67

The man actually paid Birr 1341.67.

5 0

2 years ago

A research company desires to know the mean consumption of meat per week among people over age 40. A sample of 610 people over a

Papessa [141]

Answer: $(3.0,\ 3.2)$

Step-by-step explanation:

Confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$ (1)

, where $\overline{x}$ = Sample mean

$z_{\alpha/2}$ = Critical z-value

$\sigma$ = Population standard deviation.

n= Sample size.

As per given , we have

n= 610

$\sigma=1.1$

$\overline{x}=3.1$

Significance level for 85% confidence : $\alpha=1-0.85=0.15$

By z-table critical two tailed z-value : $z_{\alpha/2}=z_{0.075}=1.44$

Put all values in (1) , we get

$3.1\pm 1.44\dfrac{1.1}{\sqrt{610}}$

$3.1\pm 1.44\dfrac{1.1}{24.698}$

$3.1\pm 0.064$

$=(3.1-0.064,\ 3.1+0.064)=(3.036,\ 3.164)\approx(3.0,\ 3.2)$

Hence, the 85% confidence interval for the mean consumption of meat among people over age 40. = $(3.0,\ 3.2)$

5 0

2 years ago

5. One ship sailed from Hawaii on a course represented by the equation 3 215 2 y x . Another ship left Tahiti on a course repres

Alex777 [14]

100000 I really don’t know to be honest

7 0

2 years ago

if log 2 = ( 0.3010 ), Log 3 = ( 0.4771 ) and Log 5 = ( 0.6990 ) then find the value of the following: Log 24... The answer is (

tekilochka [14]

Answer: 1. 3801

Step-by-step explanation:

Log 24 = Log(8x3)

From the laws of Logarithm

Log ( a xb) = Log a + Log b

so, Log (8x3) = Log8 + Log 3

Also Log 8 can be written as Log $2^{3}$ since $2^{3}$ is still 8 , so the expression becomes

Log $2^{3}$ + Log 3

⇒ 3 Log 2 + Log 3

since the value of Log 2 and Log 3 has been given , substitute into the expression , we have

3 (0.3010) + 0.4771

= 0.903 + 0.4771

= 1.3801

4 0

2 years ago

When drawing a line of best fit do you consider the outliers apart of the data

swat32

Answer:

No i don't think you do.

Explanation:

Hope this helps! :)

7 0

2 years ago