How do you factor the expression 9x^2 + 12x + 49x2+12x+4?

1 Answer
Topscooter
Dec 19, 2015

Use the quadratic rule.

Explanation:

You first need to calculate b^2 - 4acb2−4ac. Here, b^2 - 4ac = 12^2- 4*9*4 = 0b2−4ac=122−4⋅9⋅4=0. So it only has one root, given by the quadratic rule : -12/18 = -2/3−1218=−23.

So the expression 9x^2 + 12x + 49x2+12x+4 can be factorised as 9(x + 2/3)^29(x+23)2.

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