Maths help

Can you help me with this question please.
Show that
2x+x-3 px+q
Over (÷) can be written in over (÷)
X^(2) -8x+7 the form rx+s

Btw where it says over it is supposed to be a fraction but I don't know how to get it up on my phone. ☺

Get on the website and type it out, because I don't understand anything you've written. Just use / for divide and put the thing in the numerator in brackets and denominator in brackets.

Show that (2x^(2)+x-3)/ (x^(2)-8x+7) can be written in the form (px+q) ÷ (rx+s) where p, q, r , and s are integers. (3 marks)

1.Factorise Numerator and Denominator
2.Eliminate common factors
3.???
4.Profit

I got to 2x-3/-8x+7 by cancelling out the x^(2)'s but there has to be a number before both x's and I don't know how to make the bottom one positive without the top being negative.

Madam you are not following my steps. Not only is your method incorrect, but you've also implemented it incorrectly.
Do you know what factorising is?

Yes putting an equation into brackets but I do struggle with the more complicated ones.

Can you factorise x^2-8x+7?
Do you know how to factorise quadratics?

Is it (x-7) (x-1)?

Cool can you factorise 2x^2 +x-3

I'm trying but I'm struggling with this one.

Okay I got x (2x+3) + x(-2x-3)

That's not correct. Check your working. It's more helpful for me if you show your working, so I can tell you where you went wrong.

ax^(2) + bx + c
2×-3= -6

3×-2 = -6
2x^(2)+3x-2x-3
X (2x+3) + x (-2x -3)

Do you mean:

show that:

can be written in the form