a. Factorise completely x 3 6x 2 + 9x. b. Sketch the curve of y =
Question:
a. Factorise completely x3 − 6x2 + 9x.
b. Sketch the curve of y = x3 − 6x2 + 9x showing clearly the coordinates of the points where the curve touches or crosses the axes.
c. The point with coordinates (−4, 0) lies on the curve with equation y = (x − k)3 − 6(x − k)2 + 9(x − k) where k is a constant. Find the two possible values of k.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (8 reviews)
a To factorize the expression x3 6x2 9x completely we can first factor out the common factor of x xx...View the full answer
Answered By
Akash M Rathod
I have been utilized by educators and students alike to provide individualized assistance with everything from grammar and vocabulary to complex problem-solving in various academic subjects. I can provide explanations, examples, and practice exercises tailored to each student's individual needs, helping them to grasp difficult concepts and improve their skills.
My tutoring sessions are interactive and engaging, utilizing a variety of tools and resources to keep learners motivated and focused. Whether a student needs help with homework, test preparation, or simply wants to improve their skills in a particular subject area, I am equipped to provide the support and guidance they need to succeed.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
The sketch graph shows the curve of y = x 5 x 3 . Find: a. The coordinates of the point P where the curve crosses the positive x-axis b. The equation of the tangent at P c. The equation of the...
-
The sketch graph shows the curve of y = 3x 2 x 3 . The marked point, P, has coordinates (2, 4). a. Find: i. The gradient function dy/dx ii. The gradient of the curve at P iii. The equation of the...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
What was the action you are most proud of, or that is the most meaningful to you? What was the civic issue that was involved in your action? When and how did you first hear about that issue? Why did...
-
Betty England worked at a Dairy Queen restaurant owned by S&M Foods in Tallulah, Louisiana. One day while she was at work, her manager, Larry Garley, became upset when several incorrectly prepared...
-
You have genetically engineered green fluorescent protein (GFP) containing a KDEL sequence. When the construct is transfected into normal human fibroblasts and examined using fluorescence microscopy,...
-
Northern Group, Inc., is a Wisconsin corporation that contracts with manufacturers and suppliers to develop marketing strategies and promotions to third-party retailers. In exchange for these...
-
On January 1, 2015, Brooks Corporation exchanged $1,183,000 fair-value consideration for all of the outstanding voting stock of Chandler, Inc. At the acquisition date, Chandler had a book value equal...
-
Lindal Corporation, organized in 2023, immediately filed an election for S corporation status under the rules of Subchapter S. What is the maximum amount of passive investment income that Lindal will...
-
Ravenna Cola produces a lemon-lime soda. The production process starts with workers mixing the lemon syrup and lime flavors in a secret recipe. The company enhances the combined syrup with caffeine....
-
The functions f and g are defined as f(x) = x(x 2) and g(x) = x + 5, x. Given that f(a) = g(a) and a > 0, find the value of a to three significant figures.
-
a. Solve the simultaneous equations: b. Hence, or otherwise, find the set of values of x for which: 2x 2 3x 16 > 5 2x. y + 2x = 5 2x 3x - y = 16.
-
Resolve the force F1, into components acting along the u and v axes and determine the magnitudes of thecomponents. 70 30 45 F= 300 N F= S00 N
-
Provide one recommendation of an evaluated and justified CSV initiative for Qantas to implement that will help improve their brand image with Australians and how it relates to the megatrends of...
-
In a subsonic wind tunnel, one side of a mercury manometer is connected to the settling chamber and the other side is connected to the test section. The contraction ratio of the nozzle A2/A equals...
-
Describe each step of the Database System Life Cycle and describe how they work together. Explain how the cycle can use in another context. For example, how can these steps be used when buying a car...
-
What type of investment would be low risk for beginners?
-
What is calculated by finding the net profit as a percentage of the total revenue? a.) Asset turnover b.) Profit margin c.) Return on equity d.) Financial leverage
-
The marketing department is investigating methods of promoting the extended warranty for electronic equipment. In one method, customers are informed about the extended warranty by the cashier at the...
-
Determine the resultant moment produced by the forces about point O. 0.25 m 0.125 m, 0 0.3 m- 60 F = 500 N F = 600 N
-
The vectors a and b are defined by Show that the vector 3a + 2b is parallel to 6i + 4j + 10k. a = 3 -31 2 | and b = -2 -1 4
-
Using known trigonometric identities, prove the following: a sec 0 cosec 0 = 2 cosec 20 e sin (x + y) sin(x - y) = cos y cosx - n (4+x) - tan (-x) = 2 tan 2x d 1 + 2 cos 20 + cos 40 = 4 cos0 cos 20 b...
-
Identify a piece of information that you have gained through each of the sources of knowledge discussed in this chapter (superstition and intuition, authority, tenacity, rationalism, empiricism, and...
-
2- The load--extension curve of an aluminum alloy, shown in Figure E3.5.1 was taken directly from a testing machine. A strain-gage extensometer was used, so machine stiffness effects can be ignored....
-
graph.jpg Points A,B,C, and D imply that the interest rate parity holds Points X and Y imply that the investors can profit from covered interest arbitrage Point Z implies that no investor can engage...
-
A For the instant presented, the collar A of the PSSP mechanism is travelling at SA = 100 m/s and is at SA = 0.4 m from 0. The guide for the collar A is the horizontal x-y plane, passing through O,...
Study smarter with the SolutionInn App