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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)
4.2 Quadratic Equations - II

example:
Factorize, x2+7x+12.

Solution:
Given that, x2+7x+12.
7x is to be written as the sum of two terms such that the product of their coefficient is 12.
7x = 3x+4x
= 3*4 = 12
Therefore, x2+(3x+4x)+12
(x2+3x)+(4x+12)
Take x as common, we get
x(x2+3)+(4x+12)
Take 4 as common, we get
= x(x+3)+4(x+3)
Take (x+3) as common, we get
= (x+4)(x+3)


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: Factorize, x2+11x+30.
(x+5)(x+6)
None of these
(x+1)(x+2)
(x+3)(x+3)

Q 2: Factorize, x2+3x+2.
(x+3)(x+3)
(x+1)(x+2)
(x+5)(x+6)
None of these

Q 3: Factorize, x2+12x+32.
(x+4)(x+8)
(x+3)(x+7)
(x+2)(x+7)
None of these

Q 4: Factorize, x2+10x+21.
(x+2)(x+7)
(x+3)(x+7)
None of these
(x+4)(x+8)

Q 5: Factorize, x2+6x+9.
(x+5)(x+6)
None of these
(x+3)(x+3)
(x+1)(x+2)

Q 6: Factorize, x2+10x+24.
None of these
(x+4)(x+6)
(x+7)(x+5)
(x+2)(x+7)

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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