The polynomial 2x 3 + ax 2 + bx + 6 is denoted by p(x). a. Given
Question:
The polynomial 2x3 + ax2 + bx + 6 is denoted by p(x).
a. Given that (x + 2) and (x − 3) are factors of p(x), find the value of a and the value of b.
b. When a and b take these values, factorise p(x) completely.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
a Since x 2 and x 3 are factors of px we can write px x 2x 3cx d ...View the full answer
Answered By
FELIX NYAMBWOGI
I have been tutoring for over 5 years, both in person and online. I have experience tutoring a wide range of subjects, including math, science, English, and history. I have also worked with students of all ages, from elementary school to high school.
In addition, I have received training in effective tutoring strategies and techniques, such as active listening, questioning, and feedback. I am also proficient in using online tutoring platforms, such as Zoom and Google Classroom, to effectively deliver virtual lessons.
Overall, my hands-on experience and proficiency as a tutor has allowed me to effectively support and guide students in achieving their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The polynomial 2x 3 + ax 2 + bx + c is denoted by f(x). The roots of f(x) = 0 are 1, 2 and k. When f(x) is divided by x 1, the remainder is 6. a. Find the value of k. b. Find the remainder when f(x)...
-
Find a parabola y = ax2 + bx + c that passes through the point (1, 4) and whose tangent lines at x = -1 and x = 5 have slopes 6 and - 2, respectively.
-
Find the parabola with equation y = ax2 + bx whose tangent line at (1, 1) has equation y = 3x - 2.
-
Find a vector parametrization of the intersection of the surfaces x 2 + y 4 + 2z 3 = 6 and x = y 2 in R 3 .
-
A quantitative data set has been grouped by using cutpoint grouping with equal-width classes. a. If the lower and upper cutpoints of the first class are 5 and 15, respectively, what is the common...
-
Find the future value of each annuity. There are payments of $1000 at the end of each year for 9 yr at 3% interest compounded annually.
-
A company has subsidiaries in host countries A and B. Country A has a statutory corporate tax rate of 30 percent, whereas country Bs is 40 percent. What are some specific reasons that country Bs...
-
Interpreting disclosures regarding long-lived assets Exhibit 9.8 presents a partial balance sheet for Hewlett-Packard Company (HP). a creator and manufacturer of computer hardware and software and...
-
Miss Joplin is planning the resources for a maths lesson. She needs... 1 ruler per pupil plus 4 spare 2 pieces of dotty paper per pupil 5 pieces of card per pupil plus 6 spare. Write down formulae...
-
1. Prepare a table-based ABC analysis of usage value. Classify as follows: A-items: top 20% of usage value B-items: next 30% of usage value C-items: remaining 50% of usage value 2. Calculate the...
-
The polynomial 4x 3 + kx 2 65x + 18 is denoted by f(x). a. Given that (x + 2) is a factor of f(x), find the value of k. b. When k has this value, solve the equation f(x) = 0. c. Write down the roots...
-
The polynomial ax 3 + bx 2 x + 12 is denoted by p(x). a. Given that (x 3) and (x + 1) are factors of p(x), find the value of a and the value of b. b. When a and b take these values, find the other...
-
What were the exclusion criteria? Lets look at the use of ANOVA in the following nursing research article: zden, D., & Grgl, R. S. (2015). Effects of open and closed suction systems on the...
-
List the advantages of leasing.
-
a. Is it necessary for the auditor to obtain evidence of effectiveness for the entire year covered by the financial statements? b. What actions should be taken by the auditor when significant changes...
-
Select a recent takeover bid (e.g. Kraft and Cadbury). Assess the various factors that determined the price that was eventually agreed for the company which was taken over.
-
What effect will the auditor's planned assessed level of control risk have on the extent of tests of controls? b. What factors should be considered by the auditor in using evidence of effectiveness...
-
What is a lease?
-
What are the minimum and maximum values of the following rational functions: (a) 3x2 - 2y2 / x2 + y2 (b) x2 - 3xy + y2 / x2 + y2 (c) 3x2 + xy + 5y2 / x2 + y2 (d) 2x2 + xy + 3xz + 2y2 + 2z2 / x2 + y2...
-
Transform the while loop from the previous exercise into an equivalent for loop (make sure it produces the same output).
-
The following histogram illustrates the masses, m kilograms, of the 216 sales of hay that a farmer made to customers last year. a. Show that a calculated estimate of the mean is equal to the median....
-
The following table shows the lifetimes, to the nearest 10 days, of a certain brand of light bulb. a. Use upper class boundaries to represent the data in a cumulative frequency graph and estimate the...
-
For 20 values of y, it is given that (ax b) = 400 and (bx a) = 545. Given also that x = 6.25, find the value of a and of b.
-
Required information [The following information applies to the questions displayed below.] On January 1, 2021, Pet Friendly Stores adopted the retail inventory method. Inventory transactions at both...
-
Question 3 Jeguk Sdn Bhd (JSB) makes industrial cleaning solvents. Various chemicals, detergents, and water are mixed together and then bottled in 10 gallon drums. JSB provided the following...
-
Problem 3 PCA Using the Fish Market Data Consider again the data in the previous problem, focusing just on the Perch case. Remember that you only use the test data for the final evaluation. The model...
Study smarter with the SolutionInn App