Use the Remainder Theorem to find the remainder for each division. State whether the binomial is a factor of the polynomial. (x^3 - x^2 -10x-8)div (x+2)

Kolby Castillo

Kolby Castillo

Answered question

2022-09-23

Use the Remainder Theorem to find the remainder for each division. State whether the binomial is a factor of the polynomial. ( x 3 x 2 10 x 8 ) ÷ ( x + 2 )

Answer & Explanation

Nancy Phillips

Nancy Phillips

Beginner2022-09-24Added 12 answers

If a polynomial P(x) is devided by x-r, the remainder is a constant P(r), for ( x 3 x 2 10 x 8 ) ÷ ( x + 2 ) we check P(-2):
P ( 2 ) = ( 2 ) 3 ( 2 ) 2 10 ( 2 ) 8 = 0
Result:
Remainder 0, x+2 is a factor of the polynomial.

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