Chapter no. 05 factorization

Chapter no. 05   factorization

Q: 1   Choose the correct answer

1.       What will be added in 9a²- 12ab to make a complete square?                                                                   

a-) -16b²                                                                                               b-) 16b²

c-) -4b²                                                                                                                 d-) 4b²

2.       If a + b + c = 0 then a³ +b³ + c³ =                                 .

a-) -3abc                                                                                              b-) 3 a²b²c²

c-) 3abc                                                                                                d-) 2abc

3.       LCM of(a+4) and a³ +  64                                               

a-) x³ - 8                                                                                               b-) x³ +8

c-) x²+ 2x + 4                                                                                      d-) 4x⁵y ⁵

4.       HCF of 16a²b³ and 48 a³ b ⁴ is                                        .

a-) 16a²b ³                                                                                            b-) 16a²2b²

c-) 8ab                                                                                                  d-) 48ab

5.       LCM of (x^{3 -} 8) and (x² + 2x + 4) =                                                 .

a-) x³ - 8                                                                                                b-) x³ + 8

c-) x² - 2x + 4                                                                                       d-) 4 x⁵ z⁵

6.       ‘A’ and ‘B’ are two polynomials, A = x² – 1, H = x - 1 then B =                        .

a-) x² - 1                                                                                               b-) x² + 1

c-) x + 1                                                                                                                d-) x - 1

7.       Square root of a4 = 4ac = 4c2 is                                                   .

a-) a² – 2c                                                                                            b-) ± (a² + 2c)

c-) a⁴- 4c²                                                                                             d-) a⁴ + c ²

8.       For what value of b, x² + b x + 25 is perfect square, b =                                    .

a-) 7y²                                                                                                   b-) 2y²

c-) y                                                                                                       d-) y²

9.       Let (x – a) is a factor of P (x) then P (a) is                                                .

a-) Never Zero                                                                                  b-) Always Zero

c-) Always Positive                                                                         d-) Always Negative

10.   If x + 2 is a factor of x³ – 4x² +k x+8, then k =                         .                            

a-) 5                                                                                                       b-) 10

c-) - 5                                                                                                     d-)-8

11.   (6 - √2)  (6 + √2) =                            .

a-) 34                                                                                                    b-) 32

c-) 4                                                                                                       d-) -4

12.   The HCF of x + y and x – y is                                        .

a-) x + y                                                                                                                b-) x - y

c-) 1                                                                                                       d-) x² – y²

13.   X² – 5x + 6 = (x - 2) (       ) =                                            .

a-) (x - 3)                                                                                              b-) (3x + 2)

c-) (x - 1)                                                                                             d-) (3x - 2)

14.   The remainder will be                                    if x² + 3x + 3 is divided by x + 1

  a-) -1                                                                                                   b-) 1

 c-) 2                                                                                                      d-) 3

15.   For what value of m, x² + 4x +m will be a complete square?

a-) 8                                                                                                       b-) -8

c-) 4                                                                                                       d-) -4