which polynomial can be simplified to a difference of squares? 10a2 3a – 3a – 16 16a2 – 4a 4a – 1 25a2 6a – 6a 36 24a2 – 9a 9a 4

Answers

Answer 1

Answer: For the polynomial: 10a^2 + 3a - 3a - 16 = 10a^2 - 16 but 10a^2 is not a perfect square hence does not simplify to a difference of two squares. For the polynomial: 16a^2 - 4a + 4a - 1 = 16a^2 - 1 = (4a - 1)(4a + 1). This polynomial simplifies to a difference of two squares. For 25a^2 + 6a - 6a + 36 = 25a^2 + 36. This ia a sum of two squares and not a difference of two squares. For 24a^2 - 9a + 9a + 4 = 24a^2 + 4. This ia a sum of two squares and not a difference of two squares.

Answer 2

Answer:

The polynomial 16a² - 4a + 4a - 1 can be simplified to a difference of squares

What is a polynomial?

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

The difference of two squares is given by:

a² - b² = (a + b)(a - b)

Hence:

16a² - 4a + 4a - 1 = 4a(4a - 1) + 1(4a - 1)

= (4a + 1)(4a - 1)

The polynomial 16a² - 4a + 4a - 1 can be simplified to a difference of squares

Find out more on polynomial at: brainly.com/question/2833285

Related Questions

A The number of tropical fish that an aquarium can hold depends on the volume of the fish tank. The interior dimensions of a fish tank are 30 cm, 90 cm, and 70 cm. Each fish requires 27000 cubic centimeters of water. How many tropical fish will this fish tank hold?a. 8 b. 6 c. 9 d. 7
Kevin, Conner, and John each walk several miles per day as part of a fitness program. Kevin walks 3 miles less than Conner, and John walks 2 miles more than Conner does. Over 3 days the difference between the number John and Kevin walk is equal to one half the number of miles that Conner walks. How many miles does each person walk each day?
What value of r makes the equation true? r + (–0.16) = 0.37a. –0.53b. –0.21c. 0.21d. 0.53
Isolating variables abx=cy the variable is x. [please show me how)
Jennifer is buying cupcakes for a party. 12cupcakes is $8.40. What is the unit rate foreach cupcake?

Convert the polynomial equation y=(x+2)(x-6)(x+7) from factored form to general form

Answers

y = (x+2)(x-6)(x+7)

(x+2)(x+7)
x^2 - 6x + 2x - 12
x^2 - 4x - 12

(x^2 - 4x - 12)(x + 7)
x^3 + 7x^2 - 4x^2 - 28x - 12x - 84
x^3 + 3x^2 - 40x - 84

y = x^3 + 3x^2 - 40x - 84

$y = (x + 2) (x -6) (x + 7) \n \n i.e, y = (x+2) (x^2 - x - 42) \n\n => y = x^3 + 3x^2 - 40x - 84$

The range of the function f(x) = x+5 is {7,9}. what is the function's domain?A. {2,4}
B.{-2,-4}
C.{12,14}
D.{-12,-14}
E.{0,5}

Answers

Answer:

Option A is correct

{2, 4} is, the function's domain.

Step-by-step explanation:

Domain is the set of all values of x for which function f(x) is defined.

Range is the set of all complete value of f.

Given the function:

$f(x) = x+5$

The range of the function is {7, 9}

When f(x) = 7

then;

$x+5 = 7$

Subtract 5 from both sides we have;

x = 2

When f(x) = 9

then;

$x+5 =9$

Subtract 5 from both sides we have;

x = 4

⇒Domain = {2, 4}

Therefore, the function's domain is, {2, 4}

A{2,4}.
f(x)= x+5
y=x+5
7=x+5
x=2
---------
y=x+5
9=x+5
x=4

Please help! I'll mark your answer as brainliest if right <3

Answers

Answer:

dowload the snap slove aap and then crop ans it give u a correct ans

The correct answer should be y = (-8/3)x + 9

Use summation notation to write the series2+4+6+8+... For 10 terms

Answers

that would be:
[tx]
$\sum_{n=1}^{10} 2*n$
[/tex]

What are the zeros of the polynomial function f (x)=x^2-12x+20

Answers

I hope this helps you

f (x)=(x-10)(x-2)

x=10

x=2

Answer:

the answer is 10 and 2

Does anyone know how to finish it or did I do it right?? I’m confused if I have to cancel out the 6x and leave the 3 over x or leave it as it is.

Answers

Answer:

$\frac{2x - 1}{2 {x}^(2) }$

Step-by-step explanation:

From your last step, divide by 3 throughout.

You cannot divide by 6x throughout because 3 cannot be divided by 6x.

Another way to do it is:

$\frac{6x - 3}{6 {x}^(2) } \n = \frac{6x}{6 {x}^(2) } - \frac{3}{6 {x}^(2) } \n = (1)/(x) - \frac{1}{2 {x}^(2) }$

However, if the question requires you to leave your answer in a single fraction in its simplest form, only the first answer is accepted.

Other Questions

1:30 to 4:30 is how many hours

A pharmaceutical company knows that approximately 5% of its birth-control pills have an ingredient that is below the minimum strength, thus rendering the pill ineffective. What is the probability that fewer than 10 in a sample of 200 pills will be ineffective

Express as a trinomial.(x−5)(x−2)

What is the area of a rectangle with a height of 3X and a width of 2X -3