Question: cubic polynomial 12. p(x) = x3 + ax2+ 9x + b Given that (x - 3) is a factor of p(x), (a) find a linear

cubic polynomial

12. p(x) = x3 + ax2+ 9x + b Given that (x - 3) is a factor of p(x), (a) find a linear relationship between the constants a and b. Given also that when p(x) is divided by (x + 2) the remainder is -30, (b) find the values of the constants a and b. 13. g(x) =x3 + cx+ 3 Given that when g(x) is divided by (x - 4) the remainder is 39, (a) find the value of the constant c, () find the quotient and remainder when g(x) is divided by (x + 2)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

81) Given f(x) = 3x5 + 2x4 - 8, find f(-2). 88) Determine an equation of a polynomial function of lowest degree whose zeros are 1, 2, and -1. A) f(x) = x3 - 2x2 -x -2 B) f(x ) = x3 - 2x2 - x - 2 C) f...

Question 11 (1 point) Describe the end behaviour of the polynomial function p( x) = -(x -2)(x+3)? Par... ... Question 12 (1 point) Explain why f (x) = (x+2)3(x-1) is not a polynomial function. . . ....

Help with explanations and steps if u have to please ("1. Use the chain rule to nd the_'der'ivaiives of the following: a. {3 pts) yE (2x3 5:02. you no nor HAVE TO SlMPLl'FY. b. (3 pts) y = 3(.:t2 +...

Chrome File Edit View History Bookmarks Profiles Tab Window Help O ? Q 9 0 Wed Mar 30 10:00 PM U EAA 4 X MindTap - Cengage Learning X U Course Modules: MGMT:2000: X C Decomposition Of Error In Simp X...

7-67 (Every fourth, and also 29, 33, 61, 65; pp.329-330 ) SECTION 3.5 . Complex Zeros and the Fundamental Theorem of Algebra 329 EXAMPLE 7 . Factoring a Polynomial into Linear and Quadratic Factors...

Factoring Polynomials Question 1 Find the greatest common factor of the polynomial 3xy + 6x3jA - 8xy3. Not yet answered Select one: Points out of O a . 3 xy3 14.28 O b. xy O c . xy 3 O d. 2x 3 3...

Section 2.6: (page 120) Numbers 4, 5, 7-9 all, 16, 17 Section 2.7: (page 133) Numbers 3-6 all, 9-12 all Section 2.8: (page 140) Numbers 10-12 all Section 2.9: (page 148) Numbers 1, 2, 3, 4a, 6a...

3-67 (Every fourth, and also 61, 65, 69; pp.309-310 ) SECTION 3.3 . Dividing Polynomials 309 EXAMPLE 5 = Factoring a Polynomial Using the Factor Theorem 1/10 -7 6 Let P(x) = x - 7x + 6. Show that P(...

Name: 20922CB8 V1 - Page 1 1) What is the quotient when x' - 2x2 - 9 is divided 6) Find the given quotient using Long Division of by x - 3? Polynomials [Show all work. ]: (4x3 - 5x2 - 16x + 20) + (4x...

In Python, please. Assignment guidelines are below under "Assignment". In Python, please. Assignment guidelines are above under "Assignment". BELOW IS THE OUTLINE FOR THE CODE IT MUST BE USED: 6.24...

Farwell Company closes its books monthly. On September 30, selected ledger account balances are: Notes Receivable .......$37,000 Interest Receivable ....... 183 Notes Receivable include the...

Enter the number for the item that best completes each of the descriptions below. 1. General ledger 2. Chart a. The ___________ is a record containing all accounts used by a company. b. A _________...

Self - liquidating offers usually require that the consumer mail in a stipulated number of proofs - of - purchase, along with sufficient money to cover the manufacturer s purchasing, handling, and...

The Chung Company buys winter inventory for $30 each and sells them for $70 each; the company has the following sales forecast: 600 units for November 900 units for December 700 units for January...