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 2022-09-13 Answered
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 )
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Answers (1)

empatiji2v
Answered 2022-09-14 Author has 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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