Answer:
The first term of the quotient is [tex]8x[/tex].
Step-by-step explanation:
Given,
Dividend = [tex]8x^2-4x+3[/tex]
Divisor = [tex]x-3[/tex]
We have to find out the first term of the quotient.
We have attach the figure for your reference.
Solution,
Step 1:
On dividing [tex]8x^2-4x+3[/tex] by [tex]x-3[/tex] the quotient is [tex]8x[/tex] and remainder is [tex]20x+3[/tex].
Step 2:
Now we divide [tex]20x+3[/tex] by [tex]x-3[/tex] the quotient is 20 and the remainder is 63.
So the solution of the division [tex]8x^2-4x+3[/tex] ÷ [tex]x-3[/tex] is;
quotient = [tex]8x+3[/tex]
and remainder = [tex]63[/tex]
Hence the first term of the given division is [tex]8x[/tex].
