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Lelechka [254]
3 years ago
12

Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.

Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Step-by-step explanation:

We khow the sum and the product of the zeroes of this quadratic polynomial

Here is a trick :

when we khow the sum S and the product P ofvtwo numbers we can find them by solving :

x²-Sx+p=0

here S= -8 and P=12

so:

x²+8x+12=0

Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12

Δ= 8²-4*12 =16

the zeros are:

(-8-4)/2= -6

(-8+4)/2 = -2

verify:

-6+(-2)= -8

-2*(-6)= 12

now the polynomial quadratic is:

(x+6)(x+2)

You might be interested in
(-3 - 5i)(-3 + 5i) =
Black_prince [1.1K]
Hello,
You don't know (a-b)(a+b)=a²-b²?

(-3)²=9
(5i)²=-25
Answer 9 +25=34


6 0
3 years ago
Read 2 more answers
Can you guys please do both with the work please and thank you if you actually do it
salantis [7]

Answer:

  7.  29 cm

  8.  equation: 61 = (x) +(2x -7) +(3x +2); sides 11, 15, 35

Step-by-step explanation:

7. Let w represent the width. The length is 3 less than twice the width, so the length is 2w-3. The perimeter is given by the formula ...

  P = 2(L+W)

Substituting the known values, we have ...

  90 = 2((2w-3) +w)

  45 = 3w -3 . . . . . . . . divide by 2

  15 = w - 1 . . . . . . . . . .divide by 3

  16 = w . . . . . . . . . . . . add 1

  L = 2w -3 = 2(16) -3 = 29

The length of the rectangle is 29 cm.

__

8. The equation that should be used is the one that relates the side lengths to the perimeter.

  P = a + b + c . . . . for sides a, b, c

  61 = (x) +(2x -7) +(3x +2)

  61 = 6x -5 . . . . . . collect terms

  66 = 6x . . . . . . . . add 5

  11 = x . . . . . . . . . . divide by 6

Then the side lengths are ...

  a = x = 11

  b = 2x -7 = 2(11) -7 = 15

  c = 3x +2 = 3(11) +2 = 35

_____

<em>Comment on problem 8</em>

You will notice that the side lengths do not satisfy the triangle inequality: the sum of the short sides is not greater than the long side. <em>These side lengths cannot form a triangle</em>. Cute algebra, but <em>bad geometry</em>.

4 0
3 years ago
Pls help on 1 and 2. I have no idea what I'm supposed to do.
aleksandrvk [35]
What he said because. And so yea
7 0
3 years ago
Read 2 more answers
What is third of 1 5/8
stiv31 [10]

1 5/8 = 13/
8
= 1 5/
8
= 1.625
Spelled result in words is thirteen eighths (or one and five eighths).

How do you solve fractions step by step?
Conversion a mixed number 1 5/
8
to a improper fraction: 1 5/8 = 1 5/
8
= 1 · 8 + 5/
8
= 8 + 5/
8
= 13/
8


To find new numerator:
a) Multiply the whole number 1 by the denominator 8. Whole number 1 equally 1 * 8/
8
= 8/
8

b) Add the answer from previous step 8 to the numerator 5. New numerator is 8 + 5 = 13
c) Write a previous answer (new numerator 13) over the denominator 8.

One and five eighths is thirteen eighths
4 0
2 years ago
2. When x is -1.5 , what value of y makes the equation true
alex41 [277]

Answer:

-2

Step-by-step explanation:

y = 3x + 2.5

x = -1.5

y = 3 x -1.5 + 2.5

  = -4.5 + 2.5

  = -2

5 0
3 years ago
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