12. Let f(x)= 4x +hx²+kx+2. When f(x) is divided by x+1, the remainder is -24 and divisible by 4x+1. Find hand k Ivan claims that all the roots of the equation f(x)=0 are rational numbers. Do you Explain your answer. (a) (b)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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12.
Let f(x)=4x' +hx²+kx+2. When f(x) is divided by x+1, the remainder is-24 and
divisible by 4x+1.
(a)
(b)
Find hand k.
Ivan claims that all the roots of the equation f(x)=0 are rational numbers. Do you
Explain your answer.
54 Final Examination Practice 2021-2022
f
13.
14.
In the figure, the circle pa
that AD: DC = 4:3 and
(a)
(b)
Find ZCAD.
Find ZBDC.
deleted
S4 Final Examination Practice 2021-
Transcribed Image Text:12. Let f(x)=4x' +hx²+kx+2. When f(x) is divided by x+1, the remainder is-24 and divisible by 4x+1. (a) (b) Find hand k. Ivan claims that all the roots of the equation f(x)=0 are rational numbers. Do you Explain your answer. 54 Final Examination Practice 2021-2022 f 13. 14. In the figure, the circle pa that AD: DC = 4:3 and (a) (b) Find ZCAD. Find ZBDC. deleted S4 Final Examination Practice 2021-
Section B
In the figure, two circles intersect at A and B. The centre O of the larger circle lies on the
15.
circle. Chord AD intersects the smaller circle at C. Given that ZADB=x.
By considering 440B and ZACB, prove that BC=CD.
Final Examination Practice 2021-2022
12
16.
In the figure, the st
at point P. The y-in
(a)
(b)
(c)
Find the equ
Find the coc
Zoe claims
Do you agr
S4 Final Examination Practice 201
Transcribed Image Text:Section B In the figure, two circles intersect at A and B. The centre O of the larger circle lies on the 15. circle. Chord AD intersects the smaller circle at C. Given that ZADB=x. By considering 440B and ZACB, prove that BC=CD. Final Examination Practice 2021-2022 12 16. In the figure, the st at point P. The y-in (a) (b) (c) Find the equ Find the coc Zoe claims Do you agr S4 Final Examination Practice 201
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