Question

Need help with Polynomial division and Rewriting expressions!!
If x=4y+1 and z=3x-5 find an expression for z in terms of y

If (2x^2+kx+3)/(x-3)=2x-1 find the value of k

Answer 1

You mean substitute it in?

Answer 2

@mathstudent55

Answer 3

substitute x = 4y + 1 in z = 3x - 5
that is
replace x in the formula for z by 4y + 1

Answer 4

then simplify

Answer 5

How does it simplify to 12y-2 though?

Answer 6

z = 3(4y + 1) - 5
= 12y + 3 - 5
= 12y - 2

Answer 7

and you did 3*1 which is why it remained "+3" correct?

Answer 8

for the second question
expand (x - 3)(2x - 1)
then compare term by term with 2x^2 + kx + 3

Answer 9

yes

Answer 10

by expand you just mean multiply right?

Answer 11

distribute 3 over the 4y and the 1 in the parentheses

Answer 12

yes

Answer 13

compare term by term?

Answer 14

Also thank you for the help

Answer 15

first multiply second parentheses by x then by -3 then simplify

Answer 16

well you'll obtain an expression with 3 terms
one in x^2 , one in x and one a number
line this up with 2x^2 + kx + 3
and you'll see what k is

Answer 17

Oh I simplify the number I get from (x - 3)(2x - 1)? than compare it

Answer 18

@cwrw238

Answer 19

yes