## First Course in Algebra |

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### Common terms and phrases

a²x a²x² altitude arithmetic ax² base binomial Check coefficient consecutive numbers curve degree denominator digits distance divided division divisor dollars equal EXAMPLES EXERCISES exponent expression extracting the square feet longer Find the length Find the numbers Find the rate fraction geometry gives graph Hence hypotenuse imaginary inches integral KARL FRIEDRICH GAUSS less letter linear equations miles an hour miles per hour minus monomial Multiplying negative numbers numbers whose sum obtained parentheses Perform the indicated perimeter polynomial positive number preceding problems quadratic equation quotient radical radicand rationalizing factor rectangle remainder represent result right triangle RULE set of roots side Similarly Simplify Solution Solve square root Substituting subtraction symbols tion Transposing trapezoid travels trinomial twice variables width Write x²y y-distance zero

### Popular passages

Page 78 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.

Page 316 - Given that the area of a circle varies as the square of its radius...

Page 63 - The Second Power of a number is the product obtained by using the number twice as a factor. Thus, 16 is the second power of 4, since 4x4-- 16.

Page 79 - Then divide the first term of the remainder by the first term of the divisor...

Page 75 - ... quotient is equal to its exponent in the dividend minus its exponent in the divisor. For example, — = ara~".

Page 234 - ... to the remainder the next period for a new dividend. Double the part of the root already found for a new trial divisor and proceed as before until the desired number of digits of the root have been found.

Page 98 - The product of two binomials having a common term equals the square of the common term, plus the algebraic sum of the unlike terms multiplied by the common term, plus the algebraic product of the unlike terms.

Page 316 - The weight of an object above the surface of the earth varies inversely as the square of its distance from the center of the earth.

Page 185 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.

Page 234 - See how many times this trial divisor is contained in all of the dividend, excepting the right hand figure, and write the quotient as the next figure of the root, and also place it at the right of the trial divisor, to form a true divisor.