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What is the factorization of the expression 36x2 - 25?
(6x + 5)(6x - 5)
What is Difference of two square?
The difference of two squares is quick way to factor polynomials when certain constraints are met: Namely that you have two squares (e.g. 4, 25, 36x2 , 144a6) and one is subtracting from the others (e.g. 25 - 36x2). IF these two constraints are met, then you are able to factor the polynomial by finding the square roots of the squares. sqrt(25)=5 sqrt(36x2) = 6x Therefore 25 - 36x2 = (5+6x)(5-6x) in factored form. In general, given any two squares, a2 and b2, AND they are subtracting, a2 - b2, you can factor them to be (a + b)(a - b).
What are the dimensions for 72?
1x72, 72x1, 2x36, 36x2, 3x24, 24x3, 4x18, 18x4, 6x12, 12x6, 8x9, 9x8
What is the area of a square that has a side of 6x 7?
Thanks to limitations of the browser used for posting questions, it is not possible to tell whether the sides are 6x - 7 units or 6x + 7 units. For 6x - 7 units, area = 36x2 - 84x + 49 square units. For 6x + 7 units, area = 36x2 + 84x + 49 square units.
How do you find a 4th degree polynomial with zeros x equals 4 x equals -3 and x equals 6i?
There are only three roots given so, in general, there is no unique answer. However, if it is a real polynomial, then its complex roots must come in conjugate pairs. Then 6i is a root implies that -6i is a root. So the polynomial is (x - 4)(x + 3)(x + 6i)(x - 6i) = (x2 - x - 12)(x2 + 36) = x4 + 36x2 - x3 - 36x - 12x2 - 432 = x4 - x3 + 24x2 - 36x - 432
