Question

Given p(x) = 2x3 − 8x2 + 13x − 21, ___ is a factor because ___.

Answer 1

The options are:

A. p(3) does not equal zero
B. p(-3) does not equal zero
C. x-3
D. p(3)=0
E. x+3
F. p(-3) = 0

And I'm supposed to pick two from the above to fill in the blanks!

Answer 2

For the first blank I believe the answer should be C. because x-3 is one of the factors from the equation but I'm confused about the second blank

Answer 3

SOMEONE PLEASE HELP

Answer 4

Remember this : If x-a is a factor of p(x) then p(a)=0.

Answer 5

Can you guess why?

Answer 6

Ss then the answer for the second one would be p(3)=0 ?

Answer 7

since technically you're supposed to set the factor equal to zero..?

Answer 8

Yes that's right

Answer 9

thank you so much!

Answer 10

You're welcome!!

Answer 11

can u help me with a graphing problem as well?

Answer 12

Gerry wrote a new function, g(x), based on the parent function f(x) = √x. To create g(x), she replaced x with x + k, so that g(x) = f(x+ k) and got the graph shown below.


Based on the graph, k = _____.

Answer 13

http://cds.flipswitch.com/tools/asset/media/384951

Answer 14

this transformation is a translation of the whole graph k units horizontally to the left.

note that f(x) will pas through the origin (0,0)

Answer 15

so how many units has f(x) been translated ?

Answer 16

7 units to the left I believe..?

Answer 17

correct
so k = 7

Answer 18

oh..was it really that easy?

Answer 19

yes

Answer 20

so the final answer is k=7?

Answer 21

right

Answer 22

wow. okay. I feel stupid lol. thank you so much for justifying this for me. I greatly appreciate it :)

Answer 23

https://www.desmos.com/calculator/gdfnetsubu

- there are the 2 graphs

Answer 24

could you help me with another question please?

Answer 25

Rachel knows that the value of b in a quadratic function can influence the axis of symmetry as well as the vertex of the function. She wants to know how it affects the x-intercepts of the function as well, so she starts by substituting y = 0 into the standard form for a quadratic function. She tries to rewrite the quadratic equation to solve for b. Her work, and answers, are shown below.


What mistake, if any, did she make?

Answer 26

http://cds.flipswitch.com/tools/asset/media/384717

Answer 27

can you see why step 2 is wrong?

at this stage she needs to isolate bx

Answer 28

i have to go foe about 10 minutes

Answer 29

ahh rachel should have subtracted c instead of adding it