What are the factors of #x^3y^6 – 64#? How do you know if #x^2 + 10x + 25# is a perfect square? How do you write #16x^2 – 48x + 36# as a perfect square trinomial?
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Common Factors are {1,2,3,4,6,12} Factors of 24 are {color(red)(1,2,3,4,6),8,color(red)12,24} Factors of 36 are {color(red)(1,2,3,4,6,)9,color(red)12,18,36} Common ...
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Let's check the discriminant: x^2-x-36 is in the form ax+bx+c with a=1, b=-1 and c=-36. This has discriminant Delta given by the formula: Delta = b^2-4ac = (-1)^2-(4*1*-36) = 1+144 = 145 Since this is positive but not a perfect square, the quadratic has factors with Real irrational coefficients. We can find these factors using the quadratic ...
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Answer link. GCF = 18 Common factors:"" 1 , 2, 3, 6, 9, 18 There can be several common factors, but there is only one Greatest Common factor. Write 36 and 90 as the product of their prime factors. 36 = 2xx2xx3xx3 90= color (white) (xxx)2xx3xx3xx5 GCF =color (white) (x)2xx3xx3 color (white) (xxx) =18 As for all the common factors, it is ...
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See a solution process below: Because the x^2 coefficient is 1 we know the coefficient for the x terms in the factor will also be 1: (x )(x ) Because the constant is a positive and the coefficient for the x term is also a positive we know the sign for the constants in the factors will both be positive: (x + )(x + ) Now we need to determine the factors which multiply to 36 and also add to 12: 1 ...
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Since sum should be negative and product should be positive, both factors should be negative. Thus the required pair of factors is -3 and -12. #x^2-15x+36=x^2-3x-12x+36# (Split the middle term)
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So the factors of 36 are the numbers that divide exactly into it. One way is to find what pairs of numbers multiply to give 36. 1 × 36 = 36. so 1 & 36 are factors. 2 × 18 = 36. 3 × 12 = 36. 4 × 9 = 36. 6 × 6 = 36. There are no more possible pairs so we have all the factors in question.
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x2 +5x − 36 = (x − 4)(x +9) Answer link. x^2+5x-36= (x+9) (x-4) Find a pair of factors of 36 which differ by 5. The pair 9, 4 works in that 9xx4=36 and 9-4=5 Hence we find: x^2+5x-36= (x+9) (x-4) color (white) () Alternative method Alternatively, we can complete the square and use the difference of squares identity: a^2-b^2= (a-b) (a+b ...
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Explanation: From the prime number factor observe that the GCF = 22 × 3 = 12. Answer link. iOS.
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That will tell you everything you need to know about a number. Look for all the common factors: 36 = 2 × 2 ×3 ×3. 54 = 2 × 3 × 3 × 3 −−−−−−−−−−−−−−−−−−−−. H CF = 2 ×3 ×3 = 18. The highest common factor is the product of all the common factors. This is a very quick and effective method, especially ...
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