Factor the trinomial below using grouping?

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Factor the trinomial below using grouping?

4x squared + 20x +25 ( ) ( )

2007-03-10 16:00:06 · 3 answers · asked by jeremy_rrush_ 2 in Science & Mathematics ➔ Mathematics

3 answers

4x^2 + 20x + 25

This actually factors as a perfect square:

(2x + 5)(2x + 5)

or, quite simply,

(2x + 5)^2

2007-03-10 16:04:43 · answer #1 · answered by Puggy 7 · 0⤊ 1⤋

Since the first term is 4x squared rather than just x squared, we can guess that our factors will look like (2x + something) all squared. When we try this we find out the "something" has to be five. SO we get

4x squared + 20x + 25 = (2x + 5) squared.

To solve put (2x + 5) squared = 0.

This means that (2x + 5) = 0 SO X = -5/2. That is, x = -2.5.

2007-03-11 00:09:46 · answer #2 · answered by emin8r 2 · 0⤊ 1⤋

(2x + 5)(2x+5)

2007-03-11 00:04:46 · answer #3 · answered by Salwa R 1 · 0⤊ 0⤋