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Anastaziya [24]
3 years ago
14

Show two different ways to factor -12x+24-18y

Mathematics
1 answer:
klasskru [66]3 years ago
5 0
I’m not sure what they are asking for. One way is -6(2x -4 + 3y)

That’s really the only way to factor it
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Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x
mote1985 [20]

GIVEN:

We are given the following polynomial;

x^3+x^2+4x+4

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

To factorize this polynomial, we start by grouping;

(x^3+x^2)+(4x+4)

We now take the common factor in each group;

\begin{gathered} x^2(x+1)+4(x+1) \\  \\ (x^2+4)(x+1) \end{gathered}

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

\begin{gathered} x^2+4=0 \\  \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\  \\ x^2=-4 \\  \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\  \\ x=\pm\sqrt{-4} \\  \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\  \\ x=\pm2i \end{gathered}

Therefore, the factors of the other parenthesis are;

(x+2i)(x-2i)

Therefore, the complete factorization of the polynomial is;

ANSWER:

(x+1)(x+2i)(x-2i)

Option C is the correct answer.

4 0
1 year ago
Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).
egoroff_w [7]
Slope intercepf is y=mx+b wherem=slope and b= y intercept
slope is found by doing
(y1-y2)/(x1-x2)
points are (6,-1) and (-3,2)
(x,y)
x1=6
y1=-1
x2=-3
y2=2
subsitute
(-1-2)/(6-(-2))=-3/(6+2)=-3/8
slope=-3/8
subsitute
y=-3/8x+b
subsitute and solve for b
(-3,2)
x=-3
y=2
2=-3/8(-3)+b
2=9/8+b
2=16/8
subtract 9/8 from both sides
16/8-9/8=b
7/8=b
y=-3/9x+7/8 is the equation
5 0
3 years ago
Whats 195÷13 using base-ten blocks????
Mekhanik [1.2K]
I'm pretty sure the answer is 15 base-ten blocks
5 0
3 years ago
Read 2 more answers
49/6 into a mixed number
mote1985 [20]
49/6 into a mixed number would be 8 1/6. This is because you would see how many times 6 can go into 49. Since 6 times 8= 48, you subtract that from 49. You are left with one. You put the number you multiplied 6 by as the whole number and the leftover one over six. I hope this helps!
4 0
3 years ago
Read 2 more answers
5. Using the factor tree, What are the prime factors of 36
alex41 [277]

Answer:

Step-by-step explanation:

A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6. Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².

7 0
3 years ago
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