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TASK.C.S.E. 2021 Task: Weekly Test

1. The document provides a weekly test on tutorials with 11 problems involving factorizing polynomials and using the remainder theorem. 2. It asks the student to find values of variables in polynomials by setting the remainder of dividing the polynomials by other polynomials equal to given values. 3. The problems cover topics like factorizing completely, finding common factors of polynomials, and determining values that make the remainder of a division operation equal to a given value.

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Darsh Agarwal
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63 views1 page

TASK.C.S.E. 2021 Task: Weekly Test

1. The document provides a weekly test on tutorials with 11 problems involving factorizing polynomials and using the remainder theorem. 2. It asks the student to find values of variables in polynomials by setting the remainder of dividing the polynomials by other polynomials equal to given values. 3. The problems cover topics like factorizing completely, finding common factors of polynomials, and determining values that make the remainder of a division operation equal to a given value.

Uploaded by

Darsh Agarwal
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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TASK.C.S.E.

2021 TASK
WEEKLY TEST-
TUTORIALS TUTORIALS
Time 55 min.
A M.M.: 30

1. Find the value of k if 4x-2x+ kx +5 leaves remainder-10 when on divided by 2x+1. [2]

2. What number should be subtracted from 16x - 8x*+ 4x+ 7 so that the resulting polynomial

has 2x+ 1 as a factor? (31

3. Using the remainder theorem, find the value of 'kif on dividing 2x3x-kx + 5 by x-2.

leaves a remainder 7. [31

Find 'a' if the two polynomials ax +3x-9 and 2x+4x+a leaves the same remainder
divided byx+3. 31

5. If (x-2) is a factor of the expression 2x+ax + bx- 14 and when the expression is divided by

x-3), it leaves a remainder 52, find the values ofa and b. [31

6. Using the Remainder Theoremn factorise completely the following polynomial.

3x3+219x+6.

7. When divided by x-3 the polynomials x*-px* + x +6 and 2x-x-(p +3) x-6 leave

the same remainder. Find the value of 'p'. 13

8. Given that (x + 2) and (x+ 3) are factors of 2x+ ax+ 7x- b. Determine the values of

a and b. (31

9. If (x-2) a factor of 2x-x-px-2, () find the value of p. (i) With the value of p.
factorise the above expression completely. 31

10. When the polynomial x+2x- 5ax-7 is divided by (x + 1), the remainder is A and when
the polynomial x + a x - 12x+ 16 is divided by (x 2 ) , the remainder is B. Find 'a'

if2A+ B0. 31

11. What must be added to x* 2x - 2x+x - 1 so that the result is exactly divisible by

x+2x-37
Ravi Sharma 3 , Naya Lgpat Kurj, Master Plan Road Agra 9719222255

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