36 = 2 x 18 = 2 x 2 x 9 = 2 x 2 x 3 x 3 = 2² x 3² Step 2: Counting Factors The factors of 36 are of the form 2ᵃ x 3ᵇ, where ‘a’ can be 0, 1, or 2, and ‘b’ can be 0, 1, or 2. Therefore, there are 3 choices for ‘a’ and 3 choices for...
Free-form Integer Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end. Free-form Float (1) Please answer the question requiring a floating-point number with one decimal place and provide the final value, e.g., 1.2, 1.3, 1.4...
(); // Matrix in row echelon form $rref = $A->rref(); // Matrix in reduced row echelon form // Matrix decompositions // LU decomposition $LU = $A->luDecomposition(); $L = $LU->L; // lower triangular matrix $U = $LU->U; // upper triangular matrix $P = $LU-P; // ...
Since this is a nouvel “blog-form” of reading media, and with the incredible vast knowledge base on Internet within a simple click, I shall not repeat the story with my not-so-elegant writing skill, instead there will be a list of hyperlinks to Wikipedia and other internet resources, in...
there is a knowledge “arms-race” to the extent that a typical Primary 3 student should know how to calculate 1+2+3+…+100 in case this question pops up in the exam. The textbook syllabus remains just as easy as in the past, but what is tested has become 10 times more difficult....
6$negated = $polynomial->negate();// Polynomial -x² - 2x - 3// Data$degree = $polynomial->getDegree();// 2$coefficients = $polynomial->getCoefficients();// [1, 2, 3]// String representationprint($polynomial);// x² + 2x + 3// Roots$polynomial =newPolynomial([1,-3,-4...
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1) First subtract 15 from each side so that the polynomial is in the proper form: {eq}4x^2 - 8x - 6 = 0 {/eq} 2) Identify each constant: {eq}a = 4, b = -8, c = -6 {/eq} 3) Plug these values into the quadratic formula: {eq}x = \frac{8 +- \sqrt((-8)^2 - ...