Find the value of a in each of the following a x 1 is a factor of 6x 3 27x 2 x 8 b x 7 is a factor of x 3 5x 2 6x a c 2x 3 is a factor of 4x 3 ax 2 29x 30 ...

a a 8 b a 15 c a 9 Explanation For a we can use the fact that a polynomial can be divided by a ...

Find the value of a in each of the following. a. x + 1 is a factor

Question:

Find the value of a in each of the following.

a. x + 1 is a factor of 6x³ + 27x² + x + 8.

b. x + 7 is a factor of x³ – 5x² – 6x + a.

c. 2x + 3 is a factor of 4x³ + ax² + 29x + 30.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Aug 23, 2021 01:32 AM

See More Questions

Find the value of c if (1 + c) - n = 2
Find the value of c so that f(x) = { ce -x/4 x 0 0 x 0 is a probability density function.
Find the value of each factorial. 1. 5! 2. 7! 3. 10! 4. 12! 5. 0! 6. 1!
You mentioned that Amazon has sustainability topics within us supply chain. How we deal with the criticism that Amazon itself tribute to overconsumption that's antithetical to sustainability
What is lest marketing? What are the major types of test marketing?
Your business plan for your proposed start-up firm envisions first-year revenues of $120,000, fixed costs of $30,000, and variable costs equal to one-third of revenue. a. What are expected profits...
You are in an elevator moving between two floors of a building at constant speed. Compare the work done on you by the elevator when you are moving upward to a higher floor to the work done when you...
During the last week of August, Apache Arts Companys owner approaches the bank for an $80,000 loan to be made on September 2 and repaid on November 30 with annual interest of 12%, for an interest...
Question 2) Suppose there were an alternative replacement machine that could do the same job as the new stamping machine under your consideration in Question 1. The alternate choice offers the...
Jaylen has asked you to make a retirement planning presentation to the employees at Troy Metals Inc. as part of a financial literacy day. Your presentation will last approximately 60 minutes with...
Simplify each of the following. a. (3x 3 + 8x 2 + 3x 2) (x + 2) b. (6x 3 + 11x 2 3x 2) (3x + 1) c. (3x 3 11x 2 + 20) (x 2) d. (3x 3 21x 2 + 4x 28) (x 7)
Solve the following equations. a. x 3 3x 2 33x + 35 = 0 b. x 3 6x 2 + 11x 6 = 0 c. 3x 3 + 17x 2 + 18x 8 = 0 d. 2x 3 + 3x 2 17x + 12 = 0 e. 2x 3 3x 2 11x + 6 = 0 f. 2x 3 + 7x 2 5x 4 = 0 g....
The following was published with the financial statements to American Exploration Company. AMERICAN EXPLORATION COMPANY Notes to the Financial Statements Property, Plant, and EquipmentThe Company...
Polls and their results clearly impact the way in which some people think and feel about issues. Have the results of a poll or survey ever consciously impacted your opinions? Describe some of the...
If each of the followSuppSuppose that you have a lens whose power is given as 2.50 D. What is the focal length of this lens, in meters? The focal length of the lens is _ m.ose that you have a lens...
Modern language teaching methods highly encourage the use of multimodal response approaches to help learners read/write about literary texts in fun ways. Pretend you have to teach the following poem...
A shop advertises everything is "half price in today's sale." Inaddition, a coupon gives a 20% discount on sale prices. Using thecoupon, the price today represents what percentage off the...
Identify the three points that support the main idea in the reading Garbage, Man by Kunal Nayyar. How do these supporting ideas help the main idea? Use your own words. Remember that you do not need...
For the matrix treated in Example 10.50, prove that (a) As increases from 1 to 8 - 43, the two eigenvalues move towards each other, with the larger one decreasing in magnitude; (b) if > 8 - 43, the...
a) Show that (a, b) := {{a}, {b}} does not satisfy the ordered pair axiom. b) Determine whether each of the following statements is true or false. (Give a reason in each case): (i) {a, b} C (a, b)....
The diagram shows a rectangle, ABCD, where AB = 20 cm and BC = 16 cm. PQRS is a quadrilateral where PB = AS = 2x cm, BQ = x cm and DR = 4xcm. a. Express the area of PQRS in terms of x. b. Given that...
A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.02 units per second. Find the rate of change of the y-coordinate when x = 1. y = 3x - 5 X
The diagram shows the curve y = 2x 2 and the points X(2, 0) and P(p, 0) . The point Q lies on the curve and PQ is parallel to the y-axis. i. Express the area, A, of triangle XPQ in terms of p. The...
(8) Determine how much you will still owe on the house after 10 years and after 15 years; use the unpaid loan balance formula Po balance P after N years. (1-(1+12) -12(30-N) that calculates your...
The tents have capacity for 2, 3, 5, 6 or 12 people. How many tent combinations are possible to sleep 26 if all tents are fully occupied and exactly one 12-person tent is used?
Humber Bakery needs to decide how many units of its new Rexdough bread (nicknamed Rex) to bake at the start of each day.Because the bakery prides itself on being the maker of the freshest premium...

Find the value of a in each of the following. a. x + 1 is a factor

Question:

Step by Step Answer:

a a 8 b a 15 c a 9 Explanation For a we can use the fact that a polynomial can be divided by a ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions