All categories

3 years ago

Fill in the blank for Remainder Therom x 3 + x 2 - 21x - 45 = (x + 3)(x - 5)(x+?)

Mathematics

2 answers:

GarryVolchara [31]3 years ago

7 0

(3x+2)(2x+5) , (x-3)(x-1), (2x-3)(5x+1), (3x-1)^2? <span>(3x+2)(2x+5) ,
(x-3)(x-1),
(2x-3)(5x+1),
(3x-1)^2
</span>

icang [17]3 years ago

5 0

Not sure about remainder theorem but I'm sure that the last terms should all multiply tho the last term

see the expanded form is -45

so the last terms of each binomial should multiply to -45

3 times -5 times ?=-45
-15 times ?=-45
divide by -15
?=3

the question mark is 3

You might be interested in

A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A

Fittoniya [83]

Answer: C

Step-by-step explanation:

<u>Given:</u>

Sample size (n) = 50

x = 12

$\widehat{\mathbf{p}}=\frac{\mathbf{x}}{n}=\frac{12}{50}=0.24$

Confidence level = 90%

α = 1 − 0.90 = 0.10

α/2 = 0.05

$\text { Critical value }\left(z_{c}\right)=z_{\frac{\alpha}{2}}=z_{0.05}=1.6449$

(from standard normal table)

90% Confidence interval is,

$\begin{aligned}&\text { Confidence interval }=\widehat{\mathbf{p}} \pm z_{c} \times \sqrt{\frac{\hat{\mathbf{p}}(1-\hat{\mathbf{p}})}{n}} \\&\text { C. I }=0.24 \pm 1.6449 \times \sqrt{\frac{0.24(1-0.24)}{50}} \\&\text { C. I }=0.24 \pm 1.65 \times \sqrt{\frac{0.24(1-0.24)}{50}}\left\end{aligned}$

Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C

6 0

2 years ago

Jamal ran 8 kilometers, sprinted 500 meters, and climbed bleachers for a distance of 2 kilometers during track practice. How man

Kruka [31]

Answer:

10500

Step-by-step explanation:

8 times 1000 is 8000

2 times 1000 is 2000

8000 plus 2000 plus 500 is 10500m

5 0

3 years ago

IF YOU ANSWER IN !) SECONDS ILL GIVE YOU 100 POINTS

Semmy [17]

Ummm hi :) Ann’s Kama abs

5 0

2 years ago

If the hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs?

Feliz [49]

Answer:

B. (13√2)/2

Step-by-step explanation:

Let L represent the length of one leg of the triangle. We note that the triangle is isosceles, so both legs are the same length. Then the Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs:

13² = L² + L²

13² = 2L²

13 = (√2)L

L = 13/√2 = (13√2)/2 . . . length of one leg

_____

To "rationalize the denominator", we multiply the fraction 13/√2 by (√2)/(√2). The result is (13√2)/2.

6 0

3 years ago

Read 2 more answers

Which equation represents the statement, “6 less than a number is 21?”

Paraphin [41]

Answer:

6<21

Step-by-step explanation:

4 0

3 years ago