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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Middle/High School Algebra, Geometry, and Statistics (AGS)
4.4 Factorization of any Quadratic Polynomial - II

Example:
Factorize, 3x2-11x+6.

Solution:
Given that, 3x2-11x+6.
Here x2 coefficient is 3 and constant term is 6
Their product is = 3 * 6 = 18
-11 = -9-2 = -9 * -2 = 18
Therefore, 3x2-11x+6 = (3x2-9x)-(2x-6)
Take 3x and 2 as common we get,
= 3x(x-3)-2(x-3)
Take (x-3) as common we get,
= (3x-2)(x-3)


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Factorize, 3x2-20x+12.
(3x-2)(x-6)
(3x-6)(x-5)
(3x-4)(x-3)
(3x-6)(x-4)

Q 2: Factorize, 3x2-13x+12.
(3x-6)(x-5)
(4x-7)(x-4)
(3x-2)(x-6)
(3x-4)(x-3)

Q 3: Factorize, 3x2-18x+24.
(3x-6)(x-4)
(3x-6)(x-5)
(3x-4)(x-3)
(3x-2)(x-6)

Q 4: Factorize, 2x2-7x+6.
(2x-3)(x-2)
(3x-6)(x-4)
(3x-2)(x-6)
(3x-6)(x-5)

Q 5: Factorize, 3x2-21x+30.
(3x-6)(x-7)
(3x-2)(x-6)
(3x-4)(x-3)
(3x-6)(x-5)

Q 6: Factorize, 6x2-19x+14.
(3x-4)(x-3)
(3x-2)(x-6)
(6x-7)(x-2)
(4x-7)(x-4)

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Question 8: This question is available to subscribers only!


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