All categories

2 years ago

VWhich is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

Mathematics

2 answers:

Luba_88 [7]2 years ago

6 0

This is what I got for the factors: (2x-7) and (3x^3-2x+5).

oee [108]2 years ago

6 0

Answer:

2x-7 is a factor

Step-by-step explanation:

Given is a polynomial

$f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35$

By rational roots theorem the factors can be 7/2 or -7/2

Use remainder theorem

f(7/2) =0

Hence 2x-7 is a factor

You might be interested in

There are two pizzas. Conor ate 1⁄4 of a pizza, Brandon 2⁄8, Tyler 3⁄4, and Audrey 4⁄8. Who ate the most of the two pizzas?

Semenov [28]

Not exactly sure, but just by my knowledge and common sense I'd say Tyler. He ate 3/4 so he ate most out of what was given to him.

8 0

2 years ago

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub

kakasveta [241]

Answer:

4. 54- 8.5x>20

Step-by-step explanation:

Catherine only has $54, so she cannot spend more than that.

The canvas will cost at least $20, but we don't know how much exactly.

The tubes cost $8.50 each.

So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.

So, we transpose those facts into the inequity:

54 - 8.5x > 20

8 0

2 years ago

Read 2 more answers

Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220 kilomete

lys-0071 [83]

<span>the correct answer is
D) 1000 kilometers </span>

5 0

2 years ago

A 0.2-kilogram red ball is thrown horizontally at a speed of 4 meters per second from a height of 3 meters. A 0.4-kilogram green

Stolb23 [73]

Answer:

option (C) the same

Step-by-step explanation:

In the given question , it is mentioned that the ball of mass 0.2 kilograms is thrown with the velocity of 4 m/s in the horizontal direction

and, the 0.4 kilogram green ball is thrown in the horizontal direction with the velocity of 8 m/s

Here in both the cases no component of velocity in the vertical direction is provided.

Hence, it will be a case of free fall in the vertical direction.

Now,

from Newton's equation of motion, we have

$s=ut+\frac{1}{2}at^2$

here,

s is the distance

a is the acceleration

t is the time

in the above equation, mass has no role and the value of acceleration i.e acceleration due to gravity and distance of fall in the vertical direction is same.

Hence, the time taken for both the balls will be same.

Hence,

The correct answer is option (C) the same

7 0

2 years ago

Antony has a net spendable income of $1,950 per month. What is the maximum recommended amount of money that he should budget for

REY [17]

The max budget for food is 17%

.17 x 1950 = 331.5

The answer is $332

Just took this test and got it right

7 0

2 years ago

Read 2 more answers