When the factors of a trinomial are x-p and x-q then the coefficient of the x term in the trinomial a. the quotient of -p and -q. b. the difference of -p and -q. c. the sum of -p and -q. d. the product of -p and -q

The coefficient of the x term in the trinomial is (pq). Therefore, the correct option is d) the product of -p and -q and this can be determined by forming the trinomial using given data.

Given :

The factors of a trinomial are x-p and x-q.

The following steps can be used to determine the coefficient of the x term in the trinomial:

Step 1 - For this case, the trinomial sought is the following:

Step 2 - Further simplify the above equation.

The coefficient of the x term in the trinomial is (pq). Therefore, the correct option is d) the product of -p and -q.

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choice c.

Step-by-step explanation:

If you FOIL this out, this is what you get:

We need only concentrate on the x-terms, so we will ignore the first and the last ones.  That leaves us with:

-qx - px

If we factor out the common x, we have:

x(-q - p), which can be rewritten as:

x(-q + -p), which is the sum of -q and -p,

choice c.

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step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3