Give a polynomial division that has a quotient of x+5 and a remainder of -2.

Ava-May Nelson

Ava-May Nelson

Answered question

2021-01-10

Give a polynomial division that has a quotient of x+5 and a remainder of -2.

Answer & Explanation

joshyoung05M

joshyoung05M

Skilled2021-01-11Added 97 answers

Step 1 
The quotient is x+5 and the remainder is -2 
Using the equation,
Polynomial = Divisor × Quotient + Remainder 
Take divisor = x + 1 
Consequently, the polynomial is
Polynomial =(x+1)×(x+5)+(2) 
Polynomial =x2+6x+52 
Polynomial =x2+6x+3 
Step 2 
With the aid of polynomial division,
x2+6x+3x+1 
The first term is x2 so the first term in the quotient is x 
x(x+1)=x2+x 
So, x2+6x+3(x2+x)=5x+3 
Now if 5x + 3 divide by x +1 then the quotient is x 
5(x+1) = 5x + 5 
So, 5x + 3 - (5x + 5) = -2 (This is the remainder) 
The quotient is x+5 and remainder is -2 
Hence, the solution

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-14Added 2605 answers

Answer is given below (on video)

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