Ask question

Ask question

All categories

3 years ago

6

Why is it useful to factor polynomial expressions for a given scenario?

2 answers:

tatyana61 [14]3 years ago

8 0

To determine the roots or the zeros of the polynomial. These are the x-intercepts.

kvasek [131]3 years ago

4 0

Whether it is useful or not depends on the scenario.

If the scenario involves finding zeros, or simplifying rational functions, then finding factors that can be cancelled or set to zero will aid in performing the task. In a scenario where a polynomial represents a differential equation, finding the factors can help determine the behavior of the solution to the equation.

If the scenario involves finding extremes or end-point behavior, factoring may be a waste of time.

You might be interested in

You were given the polynomial f(x)=3x^3+13x^2+19x+k and you know that f(-2)=0find k

eduard

Answer:

k = 10

Explanation:

The initial polynomial is:

$f(x)=3x^3+13x^2+19x+k$

If f(-2) = 0, then when we replace x by -2, the result will be 0. It means that we can write the following equation:

$\begin{gathered} f(-2)=3(-2)^3+13(-2)^2+19(-2)+k=0 \\ 3(-2)^3+13(-2)^2+19(-2)+k=0 \end{gathered}$

Therefore, we can solve for k as follows:

$\begin{gathered} 3(-8)+13(4)+19(-2)+k=0 \\ -24+52-38+k=0 \\ -10+k=0 \\ -10+k+10=0+10 \\ k=10 \end{gathered}$

So, the value of k is 10

6 0

1 year ago

14 km<br> 48 km<br> What is the length of the hypotenuse?<br> kilometers

Volgvan

14 km I don’t know somethings I have to do it hypothesis

5 0

3 years ago

Read 2 more answers

How do you simplify 4 over 1/5 I forgot

xeze [42]

4ov [2.718282]r =2.174625orv

5 0

4 years ago

9.) express the area of this triangle as a polynomial. (Remember A=1/2B H

schepotkina [342]

Plug in the values for b = $4ab^2c^7$ and h = $3a^2b^5$

A = $\frac{1}{2} (4ab^2c^7)(3a^2b^5)$
Simplify....
A = $6a^3b^7c^7$

5 0

3 years ago

Read 2 more answers

Rite the fraction in order from greatest to least 2/8 5/8 1/8

Elanso [62]

I'm guessing it is 5/8 than 2/8 and last 1/8 it HAS to be what i just said

4 0

3 years ago

Read 2 more answers