Use the Remainder Theorem to find the remainder for each division. State whether the binomial is a factor of the polynomial. (2x^3 -5x^2 +7x+1)div (x-5)

Audrey Mckee

Audrey Mckee

Answered question

2022-09-13

Use the Remainder Theorem to find the remainder for each division. State whether the binomial is a factor of the polynomial. ( 2 x 3 5 x 2 + 7 x + 1 ) ÷ ( x 5 )

Answer & Explanation

empatiji2v

empatiji2v

Beginner2022-09-14Added 18 answers

If a polynomial P(x) is devided by x-r, the remainder is a constant P(r), for ( 2 x 3 5 x 2 + 7 x + 1 ) ÷ ( x 5 ) we check P(5):
P ( 5 ) = 2 ( 5 ) 3 5 ( 5 ) 2 + 7 ( 5 ) + 1 = 161 0.
Result:
The remainder is 161 0 , x 5 is not a factor of the polynomial.

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