All categories

3 years ago

Write f(x) in a non-factored way from polynomial equation f(x)=(x+2)(-x+3)(x-2)?

Mathematics

1 answer:

Lelu [443]3 years ago

5 0

Answer:

f(x) = -x³ + 3x² + 4x - 12

Step-by-step explanation:

f(x)=(x+2)(-x+3)(x-2)

Step 1. Use the difference of two squares

(x + 2)(x - 2) = x² - 4

f(x) = (-x + 3)(x² - 4)

Step 2. Long multiplication

x² - 4

-x³ + 4x

-x³ + 3x² + 4x - 12

f(x) = -x³ + 3x² + 4x - 12

You might be interested in

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

grandymaker [24]

2(x - 1) > = -12
2x - 2 > = -12
2x > = -12 + 2
2x > = -10
x > = -10/2
x > = -5 or -5 < = x

wrong solution would be B. x less then or equal to -5....because x is greater then or equal to -5

5 0

3 years ago

30 points 1 question PLEASE HELP ME OUT I REALLY NEED IT

Pachacha [2.7K]

Answer:

p(-5/3) ≠ 0 So, (3 x +5) is NOT A FACTOR of p(x)

Step-by-step explanation:

Here, the given function is $p(x)=3x^5+2x^2 - 5$

Now, the given root of the function is ( 3x +5)

Now, if ( 3 x + 5) = 0,

we get x = - 5/3

So, the zero of the given polynomial is x = -5/3

Then, x = -5/3, p(x) =0 ⇒ ( 3 x + 5) is a FACTOR of p(x)

Now, let us find the value of function at x = -5/3

Substitute x = -5/3 in the given function p(x), we get:

$p(x)=3x^5+2x^2 - 5 \implies p(\frac{-5}{3}) = 3(\frac{-5}{3})^5 + 2(\frac{-5}{3})^2 - 5\\= 3(\frac{-3,125}{243}) + 2(\frac{25}{9}) - 5\\= (\frac{-3,125}{81}) + (\frac{50}{9}) - 5\\= -38.580 + 5.56 - 5 = -38.02\\\implies p(\frac{-5}{3}) = -38.02$

Now, as p(-5/3) ≠ 0 So, (3x +5) is NOT A FACTOR of p(x)

6 0

3 years ago

Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, a

Talja [164]

Answer: she must sell 6 large photos and 6 small photos

Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300

4 0

2 years ago

Most insurance companies will replace a vehicle any time an estimated repair exceeds 80% of the "blue-book" value of the vehic

brilliants [131]

It is 015 & with a line and a book o crove hdgsgub

3 0

3 years ago

What is the sum of all the angles that are labeled?

Ilia_Sergeevich [38]

Answer:

61 + 142 + 44 = 247˚

Step-by-step explanation:

Just add haha

4 0

2 years ago

Read 2 more answers