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Interactive factoring test · 20 questions. GCF, difference of squares, trinomials, perfect squares, and grouping.
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Factor completely: \(6x^2 + 9x\).
Answer: A — \(3x(2x+3)\)
Factor completely: \(12a^3 - 8a^2 + 4a\).
Answer: D — \(4a(3a^2-2a+1)\)
Factor: \(x^2 - 49\).
Answer: B — \((x+7)(x-7)\)
Factor: \(9x^2 - 25\).
Answer: A — \((3x+5)(3x-5)\)
Factor completely: \(2x^2 - 18\).
Answer: C — \(2(x+3)(x-3)\)
Factor: \(x^2 + 7x + 12\).
Answer: B — \((x+3)(x+4)\)
Factor: \(x^2 - 5x + 6\).
Answer: A — \((x-2)(x-3)\)
Factor: \(x^2 + 2x - 15\).
Answer: A — \((x+5)(x-3)\)
Factor: \(x^2 - x - 20\).
Answer: D — \((x-5)(x+4)\)
Factor: \(2x^2 + 7x + 3\).
Answer: A — \((2x+1)(x+3)\)
Factor: \(3x^2 - 10x - 8\).
Answer: A — \((3x+2)(x-4)\)
Factor: \(6x^2 + x - 2\).
Answer: B — \((3x+2)(2x-1)\)
Factor: \(x^2 + 10x + 25\).
Answer: A — \((x+5)^2\)
Factor: \(4x^2 - 12x + 9\).
Answer: B — \((2x-3)^2\)
Factor by grouping: \(x^3 + 2x^2 + 3x + 6\).
Answer: D — \((x^2+3)(x+2)\)
Factor by grouping: \(x^3 - 5x^2 + 2x - 10\).
Answer: A — \((x^2+2)(x-5)\)
For what value of \(c\) does \(x^2 + 8x + c\) factor as a perfect-square trinomial?
\(c=\)Answer: \(c=16\)
If \(x^2 + bx + 12 = (x+3)(x+4)\), what is the value of \(b\)?
\(b=\)Answer: \(b=7\)
Which expressions are a difference of two squares (and so factor into two binomials)? Select all.
Answer: A, D and C
Which trinomial cannot be factored over the integers?
Answer: B — \(x^2+x+1\)