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Question

Find the factors of the expression:
of 4x3+12x2+5x+15

(1 mark)

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Solution

Solution:

Given, the expression is
4x3+12x2+5x+15.

Taking 4x2 common from the first two-terms and 5 common from the last two-terms, we get
4x2(x+3)+5(x+3)

(0.5 marks)

=(x+3)(4x2+5)

Thus, (x+3) and (4x2+5)
are two factors of the given expression.

(0.5 marks)

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