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Algebra

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Cards in this guide (20)
A polynomial of degree zero is a constant term

True

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

True

Observe the following:

5x + 5y + 3z = 5(x + y) + 3z

The first two terms could be factored because they shared a common factor of 5, but the third term did not -- not all terms need to share a common factor to use the grouping method.

The sum or difference of p and q is the of the x-term in the trinomial

coefficient

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

sum of the monomials APEX =)

To find the product of two polynomials multiply the top polynomial by each of the bottom polynomial

(b+8)(b+8)

Often the terms of a polynomial will have more than one factor in common When this happens you should factor out the common factor abbreviated as GCf

Its true

For any number c the polynomial x2 - c2 can be factored as

0

To find the values of p q r and s you should start by finding all factor of the leading coefficient and constant term Then try them to see which ones give you the correct product

Pairs

The sum or difference of p and q is the coefficient of the in the trinomial

X-term

What is an example of using a hyphen correctly

Here is an example of using a hyphen correctly: Justin was purpose-driven by his motivation to finish well.

True or false An expression must have a monomial of degree 1 or higher to be a polynomial

False.

The height of the degree does not really matter in this case. There just have to be other monomials in the problem to be considered a polynomial. "Poly" means many.

To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - b is a factor

a

If the degree of a term is negative the term is still a monomial

false

There are some instances where it is better to factor a polynomial without first putting it in standard form One example is a quadratic equation that in nonstandard form contains a perfect tr

Square :)

Graphs that do not cross or meet the x-axis do not have real roots In other words they don't have factors of the form of ax plus b where a and b are numbers

Real

What number must you add to complete the square x2 plus 26x equals 68

x2+26x = 68

x2+26x-68 = 0

(x+13)2-68 = 0

(x+13)2-169-68 = 0

x+13 = +/- the square root of 237

x = -13 +/- the square root of 237

Which sentence most accurately evaluates the spoken rhetoric of churchills their finest hour

churchills lack of enthusiasm makes it seem as though the words of his speech are not his own

apex

Churchill's serious tone makes it seem as though he is giving bad news rather than rallying support.

How did the National Geographic allow subjectivity and bias to appear in its video about the flu

It used ominous music and a blue filter to make the video more frightening.

If the coefficient of the expression axn is a fraction and the exponent is positive will the expression be a polynomial

Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.

Which aspect of Mary Shelley's Frankenstein most clearly shows a Gothic influence in the story

Frankenstein finds relief from his torment in natural settings

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