The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2 and x=0, and a root of multiplicity 1 at x=-4
Find a possible formula for P(x)

Answers

Answer 1
Answer: yes, this is fun

remember the roots of a polynomial is
P(x)=(x-r1)(x-r2)...(x-rn)


so we have 5th degreee, means all exponents shoud add to 5

leading coeficient of 1, that means
P(x)=1x^n+bx^(n-1)...zx^0
means highest power coefience it 1

roots of multiplicity 2 at x=2 and x=0, means those roots show up 2 times each
root at x=2 means (x-2), it has multiplicity 2 so (x-2)^2
root at x=0 means (x-0), it has multiplicyt 2 so (x-0)^2

last one, multiplicity 1 and root at x=-4
(x-(-4))^1=(x+4)


so the polynomial is
P(x)=(x-2)^(2)(x)^(2)(x+4)


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Answers

Answer:

Step-by-step explanation:

So first you want to number your graph

The first number you want to graph is the first one on the x line, If you numbered in ones it should be 4 to the left from the center

Next graph the 2nd number on the y line, draw a line and connect the -4 and the 7

Answer:

7.9 units

Step-by-step explanation:

You are required to find the distance between the points P and Q whose coordinates are given:

P (0, 0), Q(-4, 7)

QP=  \sqrt{ {( - 4 - 0)}^(2) + ( {7 - 0})^(2)  }  \n  \n  =  \sqrt{( - 4) ^(2) +  {(7)}^(2)  }  \n  \n  =  √(16 + 49)  \n  \n  =  √(63)  \n  \n  = 7.93725393 \n  \n  = 7.9 \: units

PLEASE ANSWER QUICKLY!!

Answers

Answer:

the answer is vsco girls are annoying

Step-by-step explanation:

Answer: m=6 I think n=14

Step-by-step explanation:

B is the midpoint of ac d is the midpoint of ce and ae =21 what is bd

Answers

bd = 1/2 ae
bd = 1/2 × 21 = 10.5

Zero product property to solve equations1. a^2+8a=0
2. (3h-6)(2h-8)=0
3. 6m^2+17m+5=0
4. y^2-36=0
5. (3g+4)^2=0

Answers

1.              a² + 8a = 0
             a(a) + (8) = 0
               a(a + 8) = 0
a = 0    or    a + 8 = 0
                       - 8  - 8
                         a = -8

2.               (3h - 6)(2h - 8) = 0
    (3(h) - 3(2))(2(h) - 2(4)) = 0
             (3(h - 2))(2(h - 4)) = 0
                   6(h - 2)(h - 4) = 0
                             6             6
                     (h - 2)(h - 4) = 0
        h - 2 = 0    or    h - 4 = 0
          + 2 + 2             + 4 + 4
             h = 2                 h = 4

3.                            6m² + 17m + 5 = 0
                     6m² + 15m + 2m + 5 = 0
    3m(2m) + 3m(5) + 1(2m) + 1(5) = 0
                3m(2m + 5) + 1(2m + 5) = 0
                           (3m + 1)(2m + 5) = 0
               3m + 1 = 0    or    2m + 5 = 0
                      - 1  - 1                  - 5  - 5
                     3m = -1                2m = -5
                      3       3                 3       3
                       m = ⁻¹/₃                 m = -1²/₃

4.                          y² - 36 = 0
              y² - 6y + 6y - 36 = 0
    y(y) - y(6) + 6(y) - 6(6) = 0
             y(y - 6) + 6(y - 6) = 0
                    (y + 6)(y - 6) = 0
       y + 6 = 0    or    y - 6 = 0
           - 6 - 6              + 6 + 6
             y = -6               y = 6

5. (3g + 4)² = 0
(√(3g + 4))² = √(0)
        3g + 4 = 0
              - 4  - 4
               3g = -4
                3      3
                  g = -1¹/₃

Simplify for 2 points cosx + cos(180º -x)

Answers

cos x+ cos(180-x)
=cos x + (cos 180)(cosx) +sin(180)(sinx))
=cos x+{-1(cos x)+0(sinx)
Note cos 180^(o)=-1 sin 180^(o)
= cos x-cos x
=0

4) Pas sock drawer contains only black socks and white socks. There are 28 pairs of socks altogether. The ratio of bsocks towhite socks is 2 to 5. How many pairs of black socks does Pa own?pairs

Answers

There are 8 black socks and 20 white socks. 5 socks times 4 = 20 white socks, and 2 socks times 4 = 8 black socks. So, Pa has 8 black socks.