The GCF is 4x.
88
The GCF is 4.
It means 88, 80+8, 100-12, 44x2, 176/2, etc.
The GCF is 2x.
With the number of x^2 so much greater than the other two, you want to find two factors of 44 that are quite close to each other. Once you find 4 and 11, it all clicks into place: (4x-1)(11x+1)
You can use the formula for the sum of an arithmetic series. Sn = (n/2)[2a + (n - 1)d].....n is the number of terms, a is the first term and d the common difference between terms. In this question, n = 45, a = 1 (as 1 is the first odd number) and d = 2 (the difference between consecutive odd numbers). Then, S(45) = (45/2)[2 + 44x2] = (45/2) x 90 = 2025.
To find the common multiples of two numbers, you first need to break them into their prime factors. In this case: 4 = 2x2 11 = 11 There are no common prime factors, and so we can say that the lowest common multiple is 11x4 = 44. In order to find other common multiples, we simply multiply this number by any integer, for instant 44x2, 44x3, 44x4, and so on. Following this rule, the first few common multiples of 4 and 11 are: 44, 88, 132, 176.
(x4 - 2x3 + 2x2 + x + 4) / (x2 + x + 1)You can work this out using long division:x2 - 3x + 4___________________________x2 + x + 1 ) x4 - 2x3 + 2x2 + x + 4x4 + x3 + x2-3x3 + x2 + x-3x3 - 3x2 - 3x4x2 + 4x + 44x2 + 4x + 40R∴ x4 - 2x3 + 2x2 + x + 4 = (x2 + x + 1)(x2 - 3x + 4)
You can only make a fraction into a mixed number if the top number (numerator) is larger than the bottom number (denominator) by dividing.For example, we have23/4we can see that 23 (numerator) is larger than 4 (denominator)To get to a mixed number, 23 is divided by 4.How many times does 4 go into 23?4x1=44x2=84x3=124x4=164x5=204x6=24So 4 goes into 23, 5 times with a reminder of 3.so the mixed number is 5 3/4If the fraction was 20/4, simplifying it to a whole number would be 5.