Factor. Show your complete working. a. 8k2 − 16k + 6b. 9p2 + 15p − 6c. 3x2 + 7xy + 2y2d. 6m2 + 13mn + 2n2
Question
Factor. Show your complete working. a. 8k2 − 16k + 6b. 9p2 + 15p − 6c. 3x2 + 7xy + 2y2d. 6m2 + 13mn + 2n2
Solution
Sure, here are the solutions:
a. 8k2 - 16k + 6 First, we can factor out a common factor of 2: 2(4k2 - 8k + 3) Then, we factor the quadratic: 2(2k - 1)(2k - 3)
b. 9p2 + 15p - 6 First, we can factor out a common factor of 3: 3(3p2 + 5p - 2) Then, we factor the quadratic: 3(3p - 1)(p + 2)
c. 3x2 + 7xy + 2y2 This is a quadratic in terms of x, and it can be factored as follows: (3x + y)(x + 2y)
d. 6m2 + 13mn + 2n2 This is a quadratic in terms of m, and it can be factored as follows: (2m + n)(3m + 2n)
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