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3 years ago

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

Mathematics

1 answer:

Tanya [424]3 years ago

5 0

4 • (b - 1) • (11b + 2)

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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

1 0 -4

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: 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:

Pre-Algebra

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

x + y = -4

Step 2: Rewrite

Find slope-intercept form

Subtract x on both sides: y = -x - 4

8 0

3 years ago

What is the ratio of x to y 14x = 9y A) 14/9 B) 1/9 C) 1/14 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