Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
Solve Q15, & 16 showing clearly all steps involved
![14. (iThe polynomial f(x) where f(x) x'- ax + bx + 8 leaves a remainder of 6 when divided by x-1
and a remainder of -70 when divided by x +3. Find the values of the constants a and b. Hence
factorise f(x) completely.
(ii) Given that the equation (k- 3)x +4x+k= 0 has real roots, find
The range of values of k.
6 The set of values ofk for which the roots have the same sign.
5. When a polynomia! P(x) is divided by x- 3and x+ 2, the remainders are 5 and -5 respectively.
Given that P(x) = (x - x - 6)Q()+ ax +b, find the values of a and b
16. Given that (x- 1) is a factor of the polynomial fix)= ax + x³ – 12x? - x+ 2.Find the value of the
constant a and verify thatf(-1)= 0
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Transcribed Image Text:14. (iThe polynomial f(x) where f(x) x'- ax + bx + 8 leaves a remainder of 6 when divided by x-1
and a remainder of -70 when divided by x +3. Find the values of the constants a and b. Hence
factorise f(x) completely.
(ii) Given that the equation (k- 3)x +4x+k= 0 has real roots, find
The range of values of k.
6 The set of values ofk for which the roots have the same sign.
5. When a polynomia! P(x) is divided by x- 3and x+ 2, the remainders are 5 and -5 respectively.
Given that P(x) = (x - x - 6)Q()+ ax +b, find the values of a and b
16. Given that (x- 1) is a factor of the polynomial fix)= ax + x³ – 12x? - x+ 2.Find the value of the
constant a and verify thatf(-1)= 0
|
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