Synthetic Division No Remainder

Arwen is solving the problem below. She set up and solved the synthetic division problem correctly (look at picture). What is the proper way for her to write the answer?

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Mr. Dye was trying to do synthetic division. Looking at his work, what mistake did he make? Silly Mr. Dye

• He did nothing wrong. That is correct.

• He added the numbers when he should have subtracted.

• He put the coefficient numbers in the incorrect order.

Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.

• No, (x-2) is  not a factor. The remainder is zero.

• Yes, (x-2) is a factor. The remainder is zero.

• No, (x-2) is  not a factor. There is a remainder. 

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even

• Ask the person sitting next to me

• Use synthetic division and see if the remainder is zero

• Flip a coin

Use synthetic division to determine whether the first polynomial is a factor of the second.

• Yes

• is

• No

• is not

• No

• is

• is not

• Yes

Use synthetic division to determine whether the first polynomial is a factor of the second.

• No

• is not

• Yes

• is

Use synthetic division to determine whether the first polynomial is a factor of the second. (katex latex="(x-5),(x^5-3x^4-13x^3+19x^2-17x+15)") ​ (a)   the binomial ​ (b)   a factor of the polynomial, because ​ (c)  

• No

• is not

• Yes

• is