Advanced Algebra |
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Common terms and phrases
a²b a²b² a³b ab² ab³ algebraic angle arithmetic arithmetic means ax² b₁ c₁ binomial binomial theorem coefficients column complex numbers contains cube denominator determinant diagram digits Dividing division divisor exceeds EXERCISE Expand exponents factors feet Find the number Find the sum Find the value following equations function given graph graphically Hence imaginary numbers inches inequality integral letters mathematical induction method miles per hour monomial multiplied obtain permutations polynomials quadratic equation quotient r₁ rational real numbers remainder represented Simplify simultaneous equations Solve the equation Solve the following square root Substituting subtract surd symbols synthetic division third total number Transposing triangle unknown number unknown quantities x²y xy² yards zero
Popular passages
Page 521 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 291 - A right triangle is a triangle, one of whose angles is a right angle.
Page 47 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page 170 - If the product of two numbers -is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Page 390 - How many 6-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number has 3 odd and 3 even digits and no two digits are alike?
Page 135 - A fraction may be reduced by division to an integral or mixed expression, if the degree of the numerator is equal to, or greater than, that of the denominator.
Page 164 - Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry.
Page 47 - Thus the product of the sum and difference of two numbers is equal to the difference of their squares.
Page 104 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms.
Page 170 - In any proportion the product of the means is equal to the product of the extremes.