Chapter 4.8, Problem 1PE

a. An equation that can be written in the form $a{x}^2+bx+c=0,a\ne 0$ is called a ______equation.

b. The zero product rule states that if $ab=0$ , then $a=$ ____ or $$

$b=$ _______.

c. The ______theorem states that given a right triangle with legs a and b and hypotenuse c, then $a^2+b^2=$ _______.

d. A function defined by $f(x)=a{x}^2+bx+c,a\ne 0$ , is called a ______function.

e. Given a quadratic function $f(x)=a{x}^2+bx+c,a\ne 0$ , find the x-intercept(s) by solving the equation _______.Find the_________ intercept by evaluating $f(0)$ .

f. If x is an integer, then _____ represents the next greater integer. If x is an odd integer, then ______ represents the next greater odd integer. Likewise if x is an even integer, then _____ represents the next greater even integer.

g. The area of a rectangle of length l and width w is given by A = _______.

h. The area of a triangle with base b and height h is given by the formula A = ________.

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