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Factorisation Test - 1

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Factorisation Test - 1
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  • Question 1
    1 / -0

    Factorise 12a2b+ 15ab2

    Solution

    Explanation:

    12a2b+ 15ab2

    by finding commom factor

    3ab (4a + 5b)

     

  • Question 2
    1 / -0

    When we factorise an expression, we write it as a ________ of factors.

    Solution

    Explanation:

     Factor is a number or quantity that when multiplied with another produces a given number or expression.

  • Question 3
    1 / -0

    Factorise:p⁴−81

    Solution

    Explanation:

    p4−81

    =[(p)2]2−[(3)2]2

    by using property  (a2−b2)

    =(p2−32)(p2+32)

    By factorise 

    =(p−3)(p+3)(p2+32)

    =(p−3)(p+3)(p2+9)

     

  • Question 4
    1 / -0

    Divide the given polynomial by the given monomial: (5x2− 6x) ÷ 3x

    Solution

    Explanation:

    (5x2− 6x) ÷ 3x

    (5x2 - 6x ) / 3x

    x (5x - 6 ) / 3x

    by divide

    1/3 (5x - 6 )

     

  • Question 5
    1 / -0

    Divide the given polynomial by the given monomial: (3y8− 4y6+ 5y4) ÷y4

    Solution

    Explanation:

    (3y8− 4y6+ 5y4) ÷y4

    y(3y4 -4y2 + 5 ) / y4         (by findig common factor)

    by cancelling y4

    3y4 -4y2 + 5 )

     

  • Question 6
    1 / -0

    Solve: –20x4÷ 10x2

    Solution

    Explanation:

    –20x4÷ 10x2

    -20x4 / 10x2

    -20/10 * x4 / x2

    -2 * x 4-2

    -2x2

     

  • Question 7
    1 / -0

    Find the common factors of 12x, 36.

    Solution

    Explanation:

    the common factors of 12x, 36.

    12x = 2 * 2 * 3 * x

    36 = 2 * 2 * 3 * 3

    common factors are = 2 * 2 *3 

      = 12

     

  • Question 8
    1 / -0

    Factorise 6xy – 4y + 6 – 9x.

    Solution

    Explanation:

      6xy – 4y + 6 – 9x.

    By grouping

    6xy – 4y – 9x  + 6

    2y (3x - 2) -3 (3x -2)

    (3x - 2) (2y - 3)

     

  • Question 9
    1 / -0

    Factorise: x²+8x+16

    Solution

    Explanation:

    x²+8x+16

    By substituting, we get, 
    =x²+4x+4x+16

    By grouping

    =x(x+4)+4(x+4)

    =(x+4)(x+4)

    =(x+4)2

     

  • Question 10
    1 / -0

    Factorise: a4−b4

    Solution

    Explanation:

    a4−b

    =[(a)2]2−[(b)2]2

     by using property(a2−b2)

    =(a2−b2)(a2+b2)

    By factorise 

    =(a+b)(a−b)(a2+b2)

     

     

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