Terminology
Polynomial Forms
Graphing Factors
Solution Sets
100
This property states that if ab=0 then either a=0 or b=0 .
What is the Zero Product Property?
100
The name for the form of a polynomial which is written as a product of terms like (ax-b).
What is factored form?
100
The factored form of the function shown in the graph.
What is (x+4)(x-4) ?
100
A soccer ball starts on the ground at coordinate (10,0). It gets kicked and follows a parabolic arc, landing on the ground 50 units away. The parabola it follows has these roots.
What are x=10 and x=60?
200
The function x^3-3x^2+4 has roots at x=-1,2,2 . The root value of 2 is known as this, because it occurs more than once.
What is a repeated root?
200
The special product (a+b)(a-b) simplifies to this result.
What is a^2-b^2 ?
200
The number of real roots of the function with this graph.
What is 0?
200
The factored form of m^2-6m-7 .
what is (m-7)(m+1) ?
300
The name of the pattern this product has: (x+a)(x-b) .
What is the sum and difference product pattern?
300
The factored form of this recognizable polynomial a^2+2ab+b^2 .
What is (a+b)^2 ?
300
The graph shows one full cycle of the sine function, which can be infinitely repeated. This means sine has a real root every _____ radians.
What is \pi radians?
300
The factored form to 18x^5-63x^2 .
What is 9x^2(2x^3-7) ?
400
The St Louis Arch is a landmark in Missouri. It is 630ft tall and has a shape similar to a parabolic function. The coordinates of the two bases of the arch (at height y = 0ft) would be called the _____ of the parabolic function.
What are the roots or solutions?
400
When solving quadratics in the form x^2+bx+c=0, identify the factors of _____ that sum to _____.
What are the factors of c that sum to b?
400
The number of distinct real roots of the function with this graph.
What is 5?
400
The real roots of x^2+3x-4 .
What are x=-4,1 ?
500
The largest number that is a factor of all numbers in a given set.
What is the greatest common factor?
500
It's the form of a polynomial where the terms are written in descending order, and is often the form given before factoring is done.
What is standard form?
500
The number of roots the two graphed functions have in common.
What is 0?
500
It's the value of c that results in the function x^2+x+c having a real root at x=3 .
What is c=-12 ?