what is the factored form of q^2-12q+36?
Connexus Unit 3 Lesson 7
1. B
2. A
3. D
4. C
5. A
if you have 6 questions number 6 is A
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1. (q-6)(q-6)
2. (3x+2)^2
36 factors to .... -6 , -6
-6 + -6 = -12
q^2-12q+36 = (q - 6)^2
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The questions above are now for Lesson 8 Unit4 Connexus
To find the factored form of a quadratic expression, we need to factorize it into a product of two binomials.
Given the expression q^2 - 12q + 36, we can start by looking for two binomials in the form (q + a)(q + b), where 'a' and 'b' are constants that multiply to give the constant term (36) and add up to give the coefficient of the middle term (-12).
In this case, since 36 is a perfect square, we know that its factors must be pairs of the form (6, 6), (-6, -6), (3, 12), (-3, -12), (2, 18), (-2, -18), (1, 36), or (-1, -36). Among these pairs, the only one that adds up to give -12 (the coefficient of the middle term) is (-6, -6).
So, we can rewrite the expression as:
q^2 - 12q + 36 = (q - 6)(q - 6)
Since both binomials are the same, we can write it as:
q^2 - 12q + 36 = (q - 6)^2
Therefore, the factored form of q^2 - 12q + 36 is (q - 6)^2.
The answers are
B A D Connections Academy