Answer:
Quotient is [tex]3x-5[/tex] and remainder is 0.
Step-by-step explanation:
Given:
Dividend = [tex]3x^2+7x-20[/tex]
Divisor = [tex]x+4[/tex]
The long division is shown in the attachment.
Step 1: we need to divide [tex]3x^2+7x-20[/tex] with [tex]x+4[/tex] we first multiply [tex]x+4[/tex] with 3x we get the remainder as [tex]-5x-20[/tex]
Quotient as 3x.
Step 2: Now the dividend is [tex]-5x-20[/tex] and divisor [tex]x+4[/tex] now we will multiply [tex]x+4[/tex] with -5 we get the remainder as 0 and Quotient as [tex]3x-5[/tex]
Hence Quotient is [tex]3x-5[/tex] and remainder is 0.
