Question

Use the function f(x) = 2x2 − x − 10 to answer the questions.

Part A: Completely factor f(x).

Part B: What are the x-intercepts of the graph of f(x)? Show your work.

Part C: Describe the end behavior of the graph of f(x). Explain.

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.

Answer 1

@dude

Answer 2

Hey!

Do you know how to factor?

Answer 3

um no nr

Answer 4

That's okay!

We want to start out by finding which numbers multiplied will all up to 10

Could you list them?

Answer 5

1*10
2*5
5*2

Answer 6

@Salmon

Answer 7

Yeah!

Now we have to find which pair adds up to -1. Do you know how to do that?

Answer 8

no how do i do that

Answer 9

How would you add up to -1 from each pair?

Try:
-1 + 10 = ?
1 + -10 = ?
-5+2 = ?
-2+5 = ?

Answer 10

9
-9
-3
3

Answer 11

Oh hold on, I did not notice the 2 coefficient


The 2 coefficient changes the equation

Try inserting 2 into each would-be factor to see if it makes the equation (Usually if the number is smaller, add to where the smaller factor will be multiplied by this coefficient)

Ie.
-5+2 = -3 (-5 is smaller you'd preferrably want it to multiply with this)

And such, it seems to be true
\((2x-5)(x+2) = 2x^2+4x-5x-10=> 2x^2-x-10\)

Answer 12

ok thank u