Problem 2
Find the greatest common factor. $$2,6,10$$
Problem 15
Fill in the blanks. A quadratic equation contains a _____ -degree polynomial in one variable.
Problem 17
Fill in the blanks. A polynomial that cannot be factored over the rational numbers is said to be a _____ polynomial.
Problem 21
Find the prime factorization of each number. $$40$$
Problem 23
Find the prime factorization of each number. $$225$$
Problem 25
Find the prime factorization of each number. $$288$$
Problem 26
Shipping pallets The length of a rectangular shipping pallet is 2 feet less than 3 times its width. Its area is 21 square feet. Find the dimensions of the pallet.
Problem 28
Designing tents The length of the base of the triangular sheet of canvas above the door of the tent shown is 2 feet more than twice its height. The area is 30 square feet. Find the height and the length of the base of the triangle.
Problem 36
Volume of a pyramid The volume of a pyramid is given by the formula \(V=\frac{B h}{3},\) where \(B\) is the area of its base and \(h\) is its height. The volume of the pyramid in the illustration is 192 cubic centimeters. Find the dimensions of its rectangular base if one edge of the base is 2 centimeters longer than the other, and the height of the pyramid is 12 centimeters.
Problem 45
Solve. SEE EXAMPLE 4. (OBJECTIVE 1) $$x^{2}=49$$