Assignment Polynomials Degree 9

Polynomials (Multiple Choice Questions)

1.       The value of k, for which the polynomial x³ – 3x² + 3x + k has three every moment its zilch is

a)      9

b)      -3

c)       -9

d)      12

2.       Which of the next is a zilch of the polynomial x³ + 3x² – 3x -1?

a)      1

b)      2

c)       -1

d)      -2

3.       On factorizing –x² + 5x -6, nosotros get

a)      (x-2)(x-3)

b)      (2+x)(3-x)

c)       (2-x)(3-x)

d)      –(2-x)(3-x)

4.       The factors of (2x-3y)³ +(3y-4z)³+8(2z-x)³ are

a)      2x X 3y X 4z

b)      2(2x-3y)(3y-4z)(2z-x)

c)       6(2x-3y)(3y-4z)(2z-x)

d)      3(2x-3y)(3y-4z)(2z-x)

5.       If P(x) = cx + d, together with hence zilch of polynomial volition be

a)      –d/c

b)      d/c

c)       c/d

d)      –c/d

Fill inward the blanks

1.      The value of P (-1) when P(x) is x³ – 3x² + five is………..

2.      On factorizing 8p² – 16q², nosotros popular off …………..

3.      The zilch of polynomial P(x) =  cx + d is ……..

4.      The coefficient of x inward –x+t is …………..

5.      Degree of (4x-3)(3x³+4) is ………..

6.      On expanding (Ö2x + 3)³ , nosotros popular off ………….

7.      The value of k, if (x+1) is a share of 3x² +x + k is ………….

8.      When x⁴¹ + 41 is divided past times (x+1), the residuum volition live on ……

9.      The value of f(Ö3), when f(x) = 3x ³+ x is …………………

10.  The criterion shape of 6q⁶ – 7q²+6q³ is …………….

Assignment Polynomials Degree 9

MCQ Polynomials Class 9

1. If (x-1) is a element of mx² - Ö2x + 1, in addition to hence the value of m is

a)      Ö2

b)      Ö2+1

c)      Ö2-1

d)      1

2.      On factorising x²  + (p + 1/p) x + 1, nosotros get

a)      (x+p)(x-p)

b)      (p +1/p )(x-p)

c)      (p +1/p )(x+p)

d)      (x-1/p )(x-p)

3.      Which of the next is a polynomial?

a)      x² + (1/2x) – 5

b)      x² + Öx– 3

c)      (1/Öx) + 7

d)      x² + (1/2)x – 5

4.      The value of polynomial 2x³ – 3x² + 5x – iii at x=0 is

a)      3

b)      0

c)      -3

d)      1

5.      The marking of (4x-3)(4x+3) is

a)      4

b)      16

c)      2

d)      1

Practice Examination Polynomials Course Of Didactics 9

Practice examination 1- Polynomials (25 marks)

1mark questions

1. Which of the next is a polynomial?

a)      x² + (1/2x) – 5

b)      x² + Öx– 3

c)      (1/Öx) + 7

d)      x² + (1/2)x – 5

2. The value of polynomial 2x³ – 3x² + 5x – iii at x=0 is

a)      3

b)      0

c)      -3

d)      1

3.  The bird of (4x-3)(4x+3) is

a)      4

b)      16

c)      2

d)      1

2 marks questions

1.     Factorise the polynomial 64x³ – (2x-t)³

2.     If (x-1) is a element of a²x³ – 4ax + 4a – 1, notice the value of a.

3 marks questions

1.     Factorise    12(x²+7x)² – 8(x²+7x)(2x-1) – 15(2x-1)²

2.     Show that ii in addition to -1/3 are the zeroes of the polynomial 3x³ -2x² – 7x -2. Also, notice its tertiary zero.

4 marks questions

1.     If x³ + mx² – x + half dozen has (9x-2) equally a element in addition to leaves a residuum n when divided past times (x-3), notice the values of m in addition to n.

2.     Prove that (x+y)³ + (y+z)³ +(z+x)³ – 3(x+y)(y+z)(z+x) =  2(x³+y³+z³-3xyz)

3.     When the polynomials x³ + 2x² – 5ax – seven in addition to x³ + ax² – 12x + half dozen are divided past times (x+1) in addition to (x-2) respectively, leaves residuum Influenza A virus subtype H5N1 in addition to B in addition to 2A + B = 6, notice the value of a.

Practice Exam Ii Polynomials Shape 9

Practice exam 2- Polynomials (25 marks)

1 rank questions (1x3)

1.If (x+2) is a element of x² +mx+14,then the value of k volition be

a)     9

b)    7

c)     14

d)    2

2.If x+1/x=2,then x³ +1/x³ is

a)     64

b)    14

c)     8

d)    2

3.A polynomial of rank two is called

a)     Quaratic

b)    Quadratic

c)     Linear

d)    Cubic

2 marks questions (2x2)

4.Factorise -3-12(a-b)²

5.Find whether g(x) is a element of p(x)

    p(x)=x³-4x²+x+6

    g(x)=(x-3)

3 marks questions (3x2)

6.Factorise 3Ö3a³-b³-5Ö5c³-3Ö15abc.

7.If (x-3) in addition to (x-1/3)are both the factors of ax²+5x+b,then demo that a=b.

4 marks questions (4x3)

8.If a+b+c=6 in addition to hence observe (2-a)³+(2-b)³+(2-c)³-3(2-a)(2-b)(2-c).

9.If p in addition to q are remainders when the polynomials x³+2x²-5ax-7 in addition to x³+ax²-12x+6 are divided by (x+1) in addition to (x-2) respectively in addition to if      2p+q=6 observe the value of a.

10.Find the value of b if x³-bx²+3bx-b is precisely divisible past times (x-3).

Mcq Polynomials Shape 9

Polynomials

1. Degree of the zip polynomial is

a)     0

b)    1

c)     Not defined

d)    Any natural no.

      2. 8 is the polynomial of degree

a)     1

b)    ½

c)     8

d)    0

3.The residuum when x³¹+31 is divided past times x+1 is

a)     30

b)    31

c)     -1

d)    0

     4.If P(x)=4x²+3x+7/2 in addition to then the value of P(-3/2) is equal to

a)     2

b)    4

c)     6

d)    8

5.Zero of the polynomial P(x)=x+5 is

a)     5

b)    0

c)     1

d)    -5

      6.When x²-7x+12 is divided past times (x-4),the quotient volition be

a)     x-3

b)    3-x

c)     –x-3

d)    x+3

7.Ö2 is a polynomial of degree

a)     0

b)    1

c)     1

d)    ½

      8.If p(x)=x+4,then p(x)+p(-x) is equal to

a)     4

b)    8

c)     0

d)    2x

9.The value of polynomial x²-x-1 at x=-1 is

a)     -3

b)    1

c)     -1

d)    0

       10.The residuum obtained when the polynomial p(x) is divided past times (b-ax) is

a)     p(-b/a)

b)    p(a/b)

c)     p(b/a)

d)    p(-a/b)