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Presentation transcript:

quotient

()

()

()

()

Divide using synthetic division. Express each polynomial in the form above.

Divide using synthetic division. Express each polynomial in the form above.

Divide using synthetic division. Express each polynomial in the form above.

Divide using synthetic division. Express each polynomial in the form above.

When a polynomial P(x) is divided by (x-c), The remainder is P(c)

When a polynomial P(x) is divided by (x-c), The remainder is P(c)

When a polynomial P(x) is divided by (x-c), The remainder is P(c)

When a polynomial P(x) is divided by (x-c), The remainder is P(c) = Remainder when the polynomial P(x) is divided by (x-5),

REMAINDER

to find P(c) for the given polynomial P(x) and the given number c.

to find P(c) for the given polynomial P(x) and the given number c.

to find P(c) for the given ploynomial P(x) and the given number c.

If the REMAINDER IS ZERO

1. Yes

If the REMAINDER IS ZERO 1. Yes 2. NO

If the REMAINDER IS ZERO 1. Yes 2. NO 3. Yes

Help With #3

If x-c is a factor of the polynomial function P(x) Then c is a solution of the equation P(x) = 0 If c is a solution of the equation P(x) = 0 Then x-c is a factor of the polynomial function P(x) If the REMAINDER IS ZERO

Then c is a solution of P(x) = 0 If the REMAINDER IS ZERO

Then c is a solution of P(x) = 0 If the REMAINDER IS ZERO

Then c is a solution of P(x) = 0 If the REMAINDER IS ZERO

To determine if c is a solution of the equation Remember If the REMAINDER IS ZERO

To determine if c is a solution of the equation 1. NO

To determine if c is a solution of the equation 1. NO 2. Yes

To determine if c is a solution of the equation 1. NO 2. Yes 3. Yes

Help With #3

If in polynomial P(x), P(c) = 0