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Q: Which binomial is a factor of c squared minus 12c plus 32?

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Remember to factor out the GCF of the coefficients if there is one. A perfect square binomial will always follow the pattern a squared plus or minus 2ab plus b squared. If it's plus 2ab, that factors to (a + b)(a + b) If it's minus 2ab, that factors to (a - b)(a - b)

x squared minus 12 x plus 36 = (x - 6)(x - 6)

(x - 1)(3x + 5)

There are no rational factors.

There is no rational factorisation.

(a - 2)(a^2 + 6)

(b-c)(a+b)-ac

(3y - 5)(y + 5)

(x + 3)(3x - 2)

v2+36v+99 = (v+3)(v+33) when factored

(3r - 2)(3r - 2) or (3r - 2) squared.

Factor out -2: -2(x squared +11x-20). This is fully factored.

The expression does not have rational factors.

(7a - 1)(6a + 1)

6(b - ac + b2 - bc)

6(ab - ac + b2 - bc)

Factor out the GCF and get X(X2-X+1).

(x + 3)(5x - 2)

(x + 12)(x - 3)

(5x - 2)(x - 5)

(4x - 1)(x - 5)

(x - 5)(x + 12)

(4x - 3)(2x + 3)

(b + 8)(b - 1)

(2x - 1)(5x + 8)