Question 2 2.1 Factorisation: From Procedure to Pedagogy. 2.1.1 A key principle in mathematics education is to connect abstract concepts to visual representations. The expression 2x + 4y + px + 2py can be factored by grouping. Using the area model below, demonstrate how you would visually guide a learner to understand the factorisation of this expression. Complete the model and then write down the final factored form. X 2y 2py 2x [30] (4)
Answer (2)
the final factored form: (2 + p)(x + 2y) or (x + 2y)(2 + p)
(note: the order of the factor is not significant as in the commutative property)
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The expression 2 x + 4 y + p x + 2 p y can be factored by grouping to get the final factored form of ( 2 + p ) ( x + 2 y ) . This involves identifying common factors in pairs of terms and factoring them out. The key steps include grouping, factoring, and recognizing the common factors.
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