Question

1. factor using common factors.

\\(3x + 15\\) | \\(4x^2 + 8x\\) | \\(5x^2 - 10x\\)
\\(3x^2 - 12x + 18\\) | \\(-10x^2 + 15x - 5\\) | \\(4x^2 - 6x + 8\\)

1. factor the difference of squares.

\\(x^2 - 49\\) | \\(x^2 - 81\\) | \\(x^2 - 100\\)
\\(4x^2 - 25\\) | \\(25x^2 - 36\\) | \\(9x^2 - 16\\)
\\(5x^2 - 125\\) | \\(2x^2 - 242\\) | \\(-3x^2 + 108\\)

1. factor the trinomial.

\\(x^2 + 4x + 3\\) | \\(x^2 + 4x + 4\\) | \\(x^2 - 5x + 6\\)
\\(x^2 + 2x - 8\\) | \\(x^2 - 4x - 5\\) | \\(x^2 + 3x + 2\\)
\\(2x^2 + 12x + 10\\) | \\(3x^2 + 21x + 30\\) | \\(-5x^2 - 40x + 45\\)

Explanation:

Factor using common factors

$$
LATEXBLOCK0
$$

Factor the difference of squares

$$
LATEXBLOCK1
$$

Factor the trinomial

$$
LATEXBLOCK2
$$

Answer:

No.	Problem	Answer
	\(4x^2 + 8x\)	\(4x(x + 2)\)
	\(5x^2 - 10x\)	\(5x(x - 2)\)
	\(3x^2 - 12x + 18\)	\(3(x^2 - 4x + 6)\)
	\(-10x^2 + 15x - 5\)	\(-5(2x - 1)(x - 1)\)
	\(4x^2 - 6x + 8\)	\(2(2x^2 - 3x + 4)\)
5	\(x^2 - 49\)	\((x - 7)(x + 7)\)
	\(x^2 - 81\)	\((x - 9)(x + 9)\)
	\(x^2 - 100\)	\((x - 10)(x + 10)\)
	\(4x^2 - 25\)	\((2x - 5)(2x + 5)\)
	\(25x^2 - 36\)	\((5x - 6)(5x + 6)\)
	\(9x^2 - 16\)	\((3x - 4)(3x + 4)\)
	\(5x^2 - 125\)	\(5(x - 5)(x + 5)\)
	\(2x^2 - 242\)	\(2(x - 11)(x + 11)\)
	\(-3x^2 + 108\)	\(-3(x - 6)(x + 6)\)
6	\(x^2 + 4x + 3\)	\((x + 3)(x + 1)\)
	\(x^2 + 4x + 4\)	\((x + 2)^2\)
	\(x^2 - 5x + 6\)	\((x - 2)(x - 3)\)
	\(x^2 + 2x - 8\)	\((x + 4)(x - 2)\)
	\(x^2 - 4x - 5\)	\((x - 5)(x + 1)\)
	\(x^2 + 3x + 2\)	\((x + 2)(x + 1)\)
	\(2x^2 + 12x + 10\)	\(2(x + 5)(x + 1)\)
	\(3x^2 + 21x + 30\)	\(3(x + 5)(x + 2)\)
	\(-5x^2 - 40x + 45\)	\(-5(x + 9)(x - 1)\)