Answer:
X Intercepts: (2, 0), (-6, 0),
Y Intercepts: (0, – 12)
minimum: (-2,-16)
Step-by-step explanation:
A) what are the x intercepts
X- axis interception points of x²+ 4x– 12:
(2,0), (-6,0)
B)what is the y intercepts
Y-axis interception point of x² + 4X – 12:
(0, – 12)
X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)
C)what is the maximum and minimum value
Parabola equation in polynomial form
The parabola params are:
a=1, b=4,c= -12
xv= -b/2a
xv= -4/2.1
simplify
xv=-2
Plug in xv = -2 to find the yv value
yv= -16
Therefore the parabola vertex is (-2, – 16)
If a<0. then the vertex is a maximum value
If a>0. then the vertex is a minimum value
a=1
minimum=(-2,-16)
Answer:
Step-by-step explanation:
w = Henry's weight
e = Eric's weight
e = w - 12
Difference-of-Squares Formula:
For a difference of squares a2 – b2, the factorization is:
(a – b)(a + b)
Answer:
150 total students
Step-by-step explanation:
10%=15 students
so 15×9=135 students
then add the first 15
15+135=150 students in total participated in the survey
When a polynomial has more than one variable, we need to look at each term. Terms are separated by + or - signs. Find the degree of each term by adding the exponents of each variable in it. <span>The degree of the polynomial is found by looking at the term with the highest exponent on its variables.
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Polynomials can be classified in two different ways - by the number of terms and by their degree.
A monomial is an expression with a single term. It is a real
number, a variable, or the product of real numbers and variables. A polynomial is a monomial or the sum or difference of monomials. A polynomial can be arranged in ascending order, in which the
degree of each term is at least as large as the degree of the
preceding term, or in descending order, in which the degree of
each term is no larger than the degree of the preceding term.
The polynomial

is classified as a 3rd degree binomial, because the monomial

has degree equal to 3 and the monomial 5xy has degree equal to 2. The highest degree is 3, therefore the polynomial

is classified as a 3rd degree polynomial. Since polynomial <span><span>

</span> has two terms, then it is classified as binomial.</span>