When g(x) is divided by x + 4 the remainder is 0. Given g(x)=x^4+3x^3-6x+8 which conclusion about g(x) is true?

1 answer:

5 0

Check your textbook on the Remainder Theorem.

any divisor that yields a remainder of 0 from the dividend, IS a factor of the dividend.

namely, if x⁴+3x³-6x+8 ÷ x+4, gives a remainder of 0, then x+4 IS a factor of x⁴+3x³-6x+8.

You might be interested in

A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What

klemol [59]

Answer:

The recoil velocity of the gun is $0.72\,\,\frac{km}{h}$ and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

$5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}$

6 0

3 years ago

Sam

Oksi-84 [34.3K]

Answer:

189

Step-by-step explanation:

you get this by taking 315 and mutiply it by 0.6 and get 189

4 0

3 years ago

The length of a rectangle is 3 inches longer then twice its width, where w is the width of the rectangle the area of the rectang

vaieri [72.5K]

A = w(2w + 3)
90 = 2w^2 + 3w
2w^2 +3w - 90 = 0
(w-6)(2w+15) = 0 (TRINOMIAL FACTORING)
w = 6 inch ( it can't be -15/2 because lengths can't be negative)
l = 2w + 3
= 15 inch

6 0

3 years ago

stealth61 [152]

Answer:

the correct answer is option D. median is 7 and mean is 5.93

7 0

2 years ago

An ice cream shoppe charges $1.19 for a scoop of ice cream and $0.49 for each topping. Jeb paid $4.55 for a three scoop sundae.

AysviL [449]

He bought 3 scoops, each costing $1.19
The cost of the three scoops= 3*1.19= $3.57

Total cost of scoops and toppings is $4.55
Cost of toppings only= 4.55-3.57= $0.98
Each topping costs $0.49

Therefore number of toppings bought= 0.98/0.49= 2

Answer: 2 toppings

3 0

3 years ago