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3 years ago

Determine the quotient and remainder F(x)=6x^4+12x^3+24x^2+ 23x+18 is divided by g(x)=2x^2+2x+4

1 answer:

8 0

The only way to do this one is by long division which I can't figure out how to show here. There are some great examples online if you google long division with polynomials.

The answer is 3x^2+3x+3 with a remainder of 5x+6 who's is usually shown as (5x+6)/2x^2 +2x+4 which was the divisor g(x).

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The dictionary is 3 inches thick. What is the volume of the dictionary

Yuki888 [10]

Answer:

Square shaped = 27 cubic inches , Rectangular shaped = 3LW cubic Inches

Step-by-step explanation:

If the dictionary is a square ( all sides are equal ) the the volume is

V = Length * Length * Length = $L^{3}$

V = 3 * 3 * 3 = 27 $inch^{3}$

while if its rectangular ( all side are not equal ) shaped

V = Length * Width * Height (thickness)

V = L * W * 3 = 3LW $inch^{3}$

5 0

2 years ago

I’m slow help me please

Vlada [557]

10 will be your answer because 4 x 5 divided by 2 is 10

8 0

2 years ago

12.5% is what in fraction form?

Serggg [28]

1/8 is the answer because when you turn 12.5% into a decimal it is .125 and .125 x 8= 1. Hope this helps you out.

8 0

2 years ago

Read 2 more answers

Solve |5x+30|=10x ......

Orlov [11]

Answer:

Option A

Step-by-step explanation:

We need to solve out ,

$\implies |5x + 30| = 10x$

We can write it as ,

$\implies 5x + 30 = \pm 10x$

On simplyfing further,

$\implies 5x + 30 = 10x \quad or \quad 5x +30=-10x$

On solving the above equation , we will get ,

$\implies \boxed{ x = 6,-2}$

Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .

Option A is correct .

5 0

2 years ago

Can someone explain how these equal 5 and -5 please

uysha [10]

I'm not sure how you obtained -5 as your answer but this is the mathematical explanation. hope this helps!
${x}^{2} + 3x = 40 \\ {x}^{2} + 3x - 40 = 0 \\(x + 8)(x - 5) = 0 \\ x = - 8 \\ x = 5$

6 0

3 years ago