Factor a negative number or a GCF with a negative coefficient from the given polynomial. See the discussed example.

$$-3 a^4+9 a^3-3 a^2$$

A 76-kg astronaut in space is holding a $12-\mathrm{kg}$ toolbox in her hands. She pushes the toolbox to the right at a velocity of $1.4 \mathrm{~m} / \mathrm{s}$. Use the impulse-momentum theorem to determine the average force that the astronaut exerts on the toolbox if she pushes on it for $0.020 \mathrm{~s}$.

Factor: $5 x^4-x^2$ Remember to use the largest common factor and to check by multiplying. Factor out a negative factor if the first coefficient is negative.

In this exercise, express each angle in radian measure as a multiple of $\pi$. (Do not use a calculator.)

$$-240^{\circ}$$

Factor: $8 x+24$ Remember to use the largest common factor and to check by multiplying. Factor out a negative factor if the first coefficient is negative.

For the function: $f(x)=x^2+10 x-5$

What is the degree of the polynomial? Is the leading coefficient positive or negative?

Formula One racers speed up much more quickly than normal passenger vehicles, and they also can stop in a much shorter distance. A Formula One racer traveling at 90 m/s can stop in a distance of 110 m. What is the magnitude of the car's acceleration as it slows during braking?

Suppose $n>7$ and $b$ is a positive constant. Is the coefficient of the seventh term of the expanded form of $(x-b)^n$ positive or negative?

Remember to use the largest common factor and to check by multiplying. Factor out a negative factor if the first coefficient is negative.

$$25 a^5+10 a^3$$

From where are the neurotransmitters released?

In fruit flies, curved wings are recessive to straight wings, and the ebony body is recessive to the gray body. A cross was made between true-breeding flies with curved wings and gray bodies to flies with straight wings and ebony bodies. The $\mathrm{F}_1$ offspring were then mated to flies with curved wings and ebony bodies to produce an $\mathrm{F}_2$ generation.
A. Diagram the genotypes of this cross, starting with the parental generation and ending with the $\mathrm{F}_2$ generation.
B. What are the predicted phenotypic ratios of the $\mathrm{F}_2$ generation?
C. Let's suppose the following data were obtained for the $F_2$ generation:
114 curved wings, ebony body
105 curved wings, gray body
111 straight wings, gray body
114 straight wings, ebony body
Conduct a chi-square analysis to determine if the experimental data are consistent with the expected outcome based on Mendel's laws.

Suppose that you’re in a moving car and the engine stops running. You step on the brakes and slow the car to half speed. If you release your foot from the brakes, will the car spontaneously speed up a bit, or will it continue at half speed and slow due to friction? Defend your answer.

Use the preposition between when referring to only two things or people or groups. Use the preposition among when referring to more than two.
In your notebook, fill in each blank with the correct preposition: between or among. " ____ the Lilliputians, a Big-Endian faction refused to accept the Emperor's edict.

Label the following statements as true or false. In each part, V,W, and $Z$ denote vector spaces with ordered (finite) bases $\alpha, \beta,$ and $\gamma$ respectively; $T : V \rightarrow W$ and $U : W \rightarrow Z$ denote linear transformations; and $A$ and $B$ denote matrices. $\\$ (a)$[\cup T]_${\alpha}$^${\gamma}$=[T]_${\alpha}$^${\beta}$[U]_${\beta}$^${\gamma}$ $(b)$[$\mathrm{T}$(v)]_${\beta}$=[$\mathrm{T}$]_${\alpha}$^${\beta}$[v]_${\alpha} for all$v \in V $(c)$[$\mathrm{U}$(w)]_${\beta}$=[$\mathrm{U}$]_${\alpha}$^${\beta}$[w]_${\beta} for all$w \in $\mathrm{W}$ $(d)$[$\operatorname{lv}$]_${\alpha}$=I $(e)$\left[$\mathrm{T}$^{2}\right]_${\alpha}$^${\beta}$=\left([$\mathrm{T}$]_${\alpha}$^${\beta}$\right)^{2} $(e)$\left[$\mathrm{T}$^{2}\right]_${\alpha}$^${\beta}$=\left([$\mathrm{T}$]_${\alpha}$^${\beta}$\right)^{2} $(f)$A^{2}=I$implies that$A=I$or$A=-I $(g)$$\mathrm{T}$=$\mathrm{L}$_{A}$for some matrix$A .$(h)$A^{2}=O$implies that$A=O,$where$O$denotes the zero matrix.$ $(i)$L_{A+B}=L_{A}+L_{B}$.$ $(j) If$A$is square and$A_{i j}=\delta_{i j}$for all$i$and$j,$then$A=I$ .