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5 days ago · Here's a step-by-step guide to finding all the factors of 120: Start with 1 and the number itself: We know 1 and 120 are factors because 1 x 120 = 120. Check divisibility by 2: 120 is an even number (it ends in a 0), so it's divisible by 2. We have 2 x 60 = 120. Test divisibility by 3: Add up the digits of 120 (1 + 2 + 0 = 3).
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5 days ago · A fraction is a real number written as a quotient, or ratio, of two integers and , where . Figure. The integer above the fraction bar is called the numerator and the integer below is called the denominator. The numerator is often called the “part” and the denominator is often called the “whole.”.
5 days ago · The steps required to solve by factoring are outlined in the following example. Example \ (\PageIndex {4}\) Solve: \ (2x^ {2}+10x+20=−3x+5\). Solution: Step 1: Express the quadratic equation in standard form. For the zero-product property to apply, the quadratic expression must be equal to zero.
First, consider the factors of the first and last terms. 12 = 1 ⋅ 12 20 = 1 ⋅ 20 = 2 ⋅ 6 = 2 ⋅ 10 = 3 ⋅ 4 = 4 ⋅ 5. We search for products of factors whose sum equals the coefficient of the middle term, 38. For brevity, the thought process is illustrated starting with the factors 2 and 6.
3 days ago · Remainder Factor Theorem - Intermediate \( g(x)\) is a polynomial that leaves a remainder of 1 when divided by \( x-1\) and leaves a remainder of 4 when divided by \( x+2\). What is the remainder when \( g(x)\) is divided by \( (x-1)(x+2)?\)
2 days ago · In combinatorics, a permutation is an ordering of a list of objects. For example, arranging four people in a line is equivalent to finding permutations of four objects.
2 days ago · What are cardiovascular disease risk factors? Ada doctors explain behaviors and conditions that increase the risk of heart disease and how to reduce those risks.
