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    A Ab A B A Ab B A Ab: DPP - V Polynomials

    Uploaded by

    Geeth Sagar
    The document contains 16 multi-part math word problems involving polynomials, factors, remainders, and other algebraic concepts. The key at the bottom provides the answers.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    A Ab A B A Ab B A Ab: DPP - V Polynomials

    Uploaded by

    Geeth Sagar
    17 views3 pages
    The document contains 16 multi-part math word problems involving polynomials, factors, remainders, and other algebraic concepts. The key at the bottom provides the answers.

    Original Description:

    dpp

    Original Title

    1568108745358_DPP-V 09.09.19

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    © © All Rights Reserved

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    The document contains 16 multi-part math word problems involving polynomials, factors, remainders, and other algebraic concepts. The key at the bottom provides the answers.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    17 views3 pages

    A Ab A B A Ab B A Ab: DPP - V Polynomials

    Uploaded by

    Geeth Sagar
    The document contains 16 multi-part math word problems involving polynomials, factors, remainders, and other algebraic concepts. The key at the bottom provides the answers.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 3

    DPP – V POLYNOMIALS

    4
    1. If x= is a root of the polynomial f(x) = 6x3 – 11x2 + kx – 20 then find the value of k.
    3

    2. The polynomials ax3 + 3x2 – 13 and 2x3 – 5x + a are divided by x + 2 and if the remainder in each case is the
    same, find the value of a.

    3. If ax3 + bx2 + x – 6 has x + 2 as a factor and leaves a remainder 4 when divided by (x - 2), find the values of a and
    b?

    4. Simplify : (3x + 4)3 – (3x - 4)3

     a 2 − 5ab a2 − b2 
    5. The value of  2 2
    × 2  is
     a − 6ab + 5b a + ab 
    a 1
    (A) -1 (B) (C) (D) 1
    b a

    ( a − b) 2 (b − c) 2 (c − a ) 2
    6. Evaluate : + +
    (b − c)(c − a) (a − b)(c− a ) (a − b)(b − c)
    (A) 0 (B) 1 (C) 2 (D) 3

    a b
    7. If (a 2 + b 2 )3 = (a 3 + b3 )2 then + =
    b a
    2 3 5 6
    (A) (B) (C) (D)
    3 2 6 5

    8. If the polynomial P(x) = 2x4 + x3 – 5x2 – x + 1 is divided by the polynomial Q(x) = x2 – x then the remainder is a
    linear polynomial R(x) = ax + b. Then (a + b) equals :
    (A) -2 (B) -1 (C) 1 (D) 2

    4
    9. If x = 2 + 2 , then x 4 + is
    x4
    (A) 2(3 − 2) (B) 6 2 −2 (C) 6− 2 (D) 12

    1 1
    10. If x+ = 4, then the value of x 6 + 6 is
    x x
    (A) 927 (B) 114 (C) 364 (D) 2702

    11. If x2 – x – 1 = 0, then the value of x3 – 2x + 1 is


    1+ 5 1− 5
    (A) 0 (B) 2 (C) (D)
    2 2

    12. If x% of y is equal to 1% of z, y% of z is equal to 1% of x and z% of x is equal to 1% of y, then the value of


    xy + yz + zx is
    (A) 1 (B) 2 (C) 3 (D) 4

    13. If p – q = - 8 and p. q. = -12 then the value of p3 – q3 is


    (A) 224 (B) - 224 (C) 242 (D) – 242

    14. Let a, b, x, y be real numbers such that a2 + b2 = 81, x2 + y2 = 121 and ax + by = 99. Then the values of ay – bx is
    (A) -1 (B) 1 (C) 0 (D) none of these
    1 1
    15. If p = x+ then the values of p − will be
    x p
    3 x4 + x2 + 1 x 4 + 3x 2 + 1
    (A) 3x (B) (C) (D)
    x x3 + x x3 + x

    a+b
    16. If a2 + b2 = 234 and ab = 108, find the value of
    a −b
    (A) 10 (B) 8 (C) 5 (D) 4
    Answer Key

    5
    1. k = 19 2. a= 3. a = 0, b = 2 4. 128 + 216x2
    9
    5. (D) 6. (D) 7. (A) 8. (A)

    9. (D) 10. (D) 11.(B) 12. (C)

    13. (B) 14. (C) 15. (C) 16. (C)

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