MATHEMATICS HIGH SCHOOL

What are the zeros of the polynomial function f(x) = x3 - 2x2 - 24x?

Answers

Answer 1
Answer:

The zeroes of the polynomial function are 0, 6, and -4.

Given that,

Polynomial function; \rm f(x) = x^3-2x^2-24x.

We have to determine,

The zeroes of the polynomial,

According to the question,

To determine the zeroes of the given polynomial function following all the steps given below.

Polynomial function; \rm f(x) = x^3-2x^2-24x.

Factorize the polynomial function to find the zeroes of the function,

\rm x^3-2x^2-24x =0\n\n\rm x(x^2-2x-24)=0\n\nx(x^2-6x+4x-24)=0\n\nx(x(x-6)+4(x-6))=0\n\nx ( (x-6) (x+4)) =0\n\nx (x-6) (x+4) =0

Therefore,

The zeroes of the polynomial function are,

\rm x = 0\n\nx - 6 =0, \ \ x =6\n\nx +4 =0, \ \ x = -4

Hence, The zeroes of the polynomial function are 0, 6, and -4.

For more details refer to the link given below.

brainly.com/question/15849916
Answer 2
Answer: first factor out a variable: x(x^2-2x-24)
now solve the quadratic: x(x-6)(x+4)
When you set these expressions equal to zero, you get 0, 6, and -4 as your answers.

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Math. :)Question: 1.1W + 2.1 = 5.4
Answer: W = 2.2

Is the answer correct? How do you check the answer?

Thank you in advance!!

Answers

\sf~W+2.1=5.4

Subtract 2.1 to both sides:

\sf~W=3.3
This is one-step equation.
W+2.1=5.4 \n W+2.1-2.1=5.4-2.1 \n W=3.3 \n CHECK- \n 3.3+2.1=5.4

Find the nth term of this sequence: -1, 3, 7, 11, 15

Answers

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The sum of the squares of two positive integers is 394. If one integer is 2 less than the other and the larger integer is x. Find the integers.

Answers

larger is x
the other is called y
sum of squares is 394
x^2+y^2=394
one is 2 less that other
x>y so
y+2=x
subsitute y+2 for x

(y+2)^2+y^2=394
expand
y^2+4y+4+y^2=394
add like terms
2y^2+4y+4=394
divideboth sides by 2
y^2+2y+2=197
subtract 197 from both sides
y^2+2y-195=0
factor
(y+15)(y-13)=0
set each to zero
y+15=0
y=-15
impossible since it is stated that they are positive so get rid of this solution
y-13=0
y=13

find other
y+2=x
13+2=x
15=x


numbers are 13 and 15

Find the discount for a $200 item on sale for $150

Answers

\$200-\$150=\$50\n\n \begin{array}{ccc}\$200&-&100\%\n\n\$50&-&p\%\end{array}\n\n200p=50\cdot100\ \ \ /:200\n\np=(50\cdot100)/(200)\n\np=25\n\nAnswer:The\ discount\ is\ 25\%.

Answer:

25%

Step-by-step explanation:

Assume each variable has a different value. Which relations below are functions? a. {(a, b), (a, c), (a, d), (a, e)} b. {(a, b), (b, b), (c, b), (d, b)} c. {(a, b), (c, d), (e, f), (g, h)} d. {(a, a), (b, c), (c, c), (d, e)}A. choice a only

B. choices b and c only

C. choice c only

D. choices b, c, d only

Answers

A function is a relation in which every input value x has at most one output value y.

Consider all options:

a. Relation {(a, b), (a, c), (a, d), (a, e)} is not a function, because input value a has four different output values b, c, d and e.

b. Relation {(a, b), (b, b), (c, b), (d, b)} is a function, because every input value a, b, c and d have at most one output value b.

c. Relation {(a, b), (c, d), (e, f), (g, h)} is a function, because every input value a,  c, e and g have at most one output value b, d, f and g, respectively.

d. Relation {(a, a), (b, c), (c, c), (d, e)} is a function, because every input value a,  b, c and d have at most one output value a, c, c and e, respectively.

Answer: correct choice is D
i think its D but im not 100% sure let me know if its right

Factor 2x^3-12x^2+16x

Answers

Answer:

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Step-by-step explanation:
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