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PSYCHO15rus [73]
3 years ago
5

Find the greatest common factor of the following monomials 44b^2 36b

Mathematics
1 answer:
Tanya [424]3 years ago
5 0
<span> 4 • (b - 1) • (11b + 2)</span>
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Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
Norma-Jean [14]

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1  -1  -4   4

 <u>      1   0  -4</u>

   1   0  -4  0

The remainder is zero, hence one factor is (x-1)

PART 3:

x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)

PART 4:

f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4

6 0
3 years ago
Solve by using square root: <br> 4(x-1)^2+2=10
Scilla [17]
4(x-1)^2+2=10\\\\4(x^2-2x+1)+2-10=0\\\\4 x^2-8x+4+2-10=0\\\\4 x^2-8x-4=0\ \ / :4\\\\x^2-2x-1=0\\\\x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a}=\frac{2-\sqrt{ (-2)^2-4*1*(-1)}}{2 }=\frac{2-\sqrt{ 8}}{2 }=\frac{2- \sqrt{ 4*2}}{2 }=\\\\=\frac{2-\sqrt{ 8}}{2 }=\frac{2(1- \sqrt{ 2})}{2 }=1- \sqrt{ 2}\\\\x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{2+\sqrt{ (-2)^2-4*1*(-1)}}{2 }=\frac{2(1+ \sqrt{ 2})}{2 }=1+ \sqrt{ 2}

Answer:\ x=1- \sqrt{2}\ \ or\ \ x= 1+ \sqrt{ 2}


3 0
3 years ago
Read 2 more answers
Which of the following is positive? -(-31), -(31), -31, 0-31
BartSMP [9]
It would be -(-31) because a negative and negative is a positive
3 0
3 years ago
Read 2 more answers
Put the following equation of a line into slope-intercept form, simplifying all
Brilliant_brown [7]

Answer:

y = -x - 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

x + y = -4

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form</em>

  1. Subtract <em>x</em> on both sides:                    y = -x - 4
8 0
3 years ago
What is the ratio of x to y<br><br> 14x = 9y<br><br> A) 14/9<br> B) 1/9<br> C) 1/14<br> D) 9/14
kirza4 [7]

Answer:

A) 14/9

Step-by-step explanation:

14 and 9 have no GCFs (Greatest Common Factors), so the ratio is simply 14/9.

5 0
3 years ago
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