Polynomials in Factor Form

How can I tell, when doing synthetic division, if the binomial is a FACTOR of the dividend?

• The remainder is zero

• They are all factors

• We can't tell

• The remainder is a constant

If x-2 is a factor of x^2+5x+7, then that means.....

• f(0) = 2

• f(0) = -2

• f(2) = 0

• f(-2) = 0

Odd Multiplicities have which of the following effects on the x-axis?

• Cross the x-axis

• Tangent to the x-axis

Even Multiplicities have which of the following effects on the x-axis?

• touches and bounces back

• wiggle

• crosses the x-axis

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

Use your knowledge on GCF's and Factoring by grouping to factor the following: 30x³+15x²-18x-9

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)

What is the factored form of 4x²+8x+10

• 2x(2x²+4x+5)

• 2x(x²+4x+10)

• 2(2x²+4x+10)

• 2(2x²+4x+5)

Find the greatest common factor of
6x⁴y³ - 12x⁴y² + 6x³y²

• 6

• 6xy

• 6x³y²

• 6x⁹y⁶

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor

• No, it is not a factor

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)