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Online Quiz (Worksheet A B C D)

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Grade 7 - Mathematics
4.13 Finding the Factors of a Trinomial That is a Perfect Square - I

If a trinomial is a perfect square, then it must be the square of a binomial.

Example:
Factorise x2 + 6x + 9.
Solution:
x2 + 6x + 9 is written as x2 + 6x + 32
\ Two of the three terms are perfect squares.
x2 = x and 32 = 3.
Remaining terms = 2.x.3 = 2.x2.32
The remaining terms is equal to the twice the product of the square roots of the two terms which are perfect squares.
\ x2 + 6x + 9 = x2 + 2.x.3 + 32, is in the form of a2 + 2ab + b2.
(x+3)2 = (x+3)(x+3)
\ The factors of given trinomial are (x+3), (x+3)


Directions: Find the factors of given trinomials and show your work. Also write at least ten examples of your own.
Q 1: Factorise 9x2 + 24x + 16.
(3x-4)(3x+4)
(3x-4)(3x-4)
(3x+4)(3x+4)

Q 2: Factorise 36x2 + 60x + 25.
(6x-5)(6x-5)
(6x+5)(6x+5)
(6x+5)(6x-5)

Q 3: Factorise x2 + 18x + 81.
(x+9)(x+9)
(x-9)(x-9)
(x-9)(x+9)

Q 4: Factorise 25x2 + 30x + 9.
(5x-3)(5x+3)
(5x-3)(5x-3)
(5x+3)(5x+3)

Q 5: Factorise 225x2 + 270x + 49.
(15x+7)(15x-7)
(15x-7)(15x-7)
(15x+7)(15x+7)

Q 6: Factorise x2 + 2x + 1.
(x+1)(x-1)
(x+1)(x+1)
(x-1)(x-1)

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Question 8: This question is available to subscribers only!


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