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A) find p(x)+4q(x)p(x)=3x^5+70x^3-67x^2+3q(x)=3x^3+56x^2-19
B) Find P(-1/2)if P(x)=x^4=3x^2+2
C) If P(y)=10y^2+4Q(y)=y^3-5y^2+3y+7Find 3P(y)+Q(y)
D) (x^2+y^2+4z^2+2xy+4yz+4zx)+(x^2+4y^2+4z^2-4xy-8yz+4zx)
E) (3x+2y)^2
F) (x+9)(x-4)
G) Divide: (6x^3-5x^2-13x+13)divided by (2x+3)
Factor completely:
A: 16x^2+40x+25
B: 6x^2-28x+16
C: x^4+2x^3-3x-6
Solve the following problems involving applicatins of polynomials:
A: Three consecutive even integers are such that the square of the third is 76 more than the square of the second, Find the three integers?
B: A rectangular parking lot is 50 ft longer than it is wide, Determine the dimensions of the parking lot if it measures 250 ft diagonally?
compute the mean and variance of the following discrete probability distribution.x
Find the center, transverse, axis, vertices, foci and asymptotes. Graph the equation y2-x2=100. Find the equation of hyperbola. Vertices (-1,5) and (9,-5) Asymptote the line y+5=6/5 (x-4). Write the equation of hyperbola and show the graph.
Let a R a convex function (equivalently a concave upward function). Define
Solve the following equation for x under radical sign.
Find the slope of a line.
Estimate the value of X at which the minimum or maximum occurs, the minimum or maximum of the function.
Which of the four operations on functions do you think is the easiest to perform? What is the most difficult? Explain why.
In 1990 the life expectancy of males in a certain country was 61.2 years. In 1996 it was 64.3 years. Let E represent the life expectancy in year t and let + represent the number of years since 1990.
The point A(-1 ; 3) lies in a Cartesian plane. Determine the co-ordinates of the image of A if: A is reflected about the x-axis. A is rotated about the origin through an angle of 900 in an anti-clockwise direction.
Let f(x) = 5x2 + 8 and g(x) = x -2. Find the composite function (f o g )(x) and simplify. Find (f o g)(-1).
How would you express the zeros of the equation x2 - 2 = 0 ? Are the two zeros of this equation integers, rational numbers, or irrational numbers?
Provide a coefficient matrix corresponding to the system of linear equations.
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