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

Ava-May Nelson 2021-01-10 Answered
Give a polynomial division that has a quotient of x+5 and a remainder of -2.
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Expert Answer

joshyoung05M
Answered 2021-01-11 Author has 97 answers
Step 1
The quotient is x+5 and the remainder is -2
By using the formula,
Polynomial = Divisor × Quotient + Remainder
Take divisor = x + 1
Thus, the polynomial is
Polynomial =(x+1)×(x+5)+(2)
Polynomial =x2+6x+52
Polynomial =x2+6x+3
Step 2
By using the 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
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Jeffrey Jordon
Answered 2021-11-14 Author has 2064 answers

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