Question

find the remainder of the polynomial
${x}^{3} + {3x}^{2 } + 3x + 1 \div x + 1$
​

Answer 1

Answer:

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).Remainder=f(−π)=(−π)

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).Remainder=f(−π)=(−π) 3

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).Remainder=f(−π)=(−π) 3 +3(−π)

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).Remainder=f(−π)=(−π) 3 +3(−π) 2

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).Remainder=f(−π)=(−π) 3 +3(−π) 2 +3(−π)+1=−π

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).Remainder=f(−π)=(−π) 3 +3(−π) 2 +3(−π)+1=−π 3

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).Remainder=f(−π)=(−π) 3 +3(−π) 2 +3(−π)+1=−π 3 +3π

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).Remainder=f(−π)=(−π) 3 +3(−π) 2 +3(−π)+1=−π 3 +3π 2

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).Given:f(x)=x 3 +3x 2 +3x+1f(x) is divided by a linear polynomial , x+π, the remainder of that division will be equivalent to f(−π).Remainder=f(−π)=(−π) 3 +3(−π) 2 +3(−π)+1=−π 3 +3π 2 −3π+1

Answer 2

Step-by-step explanation:

remainder is 4 of x}^{3} + {3x}^{2 } + 3x + 1 \div x + 1[/tex]