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Artemon [7]
3 years ago
15

What are the zeros of the function f(x) =(x^2 - 3x - 10)(x + 4) !!Please help!!!

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0
F(x) = (x² - 3x - 10)(x + 4) becomes (x - 5)(x + 2)(x + 4) when completely factored. Now set each binomial equal to zero. 

x - 5 = 0
x = 5

x + 2 = 0
x = - 2

x + 4 = 0
x = - 4

Your zeros are at x = - 4, - 2, and 5. Or at (- 4, 0), (- 2, 0), and (5, 0). 
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3 0
3 years ago
Find the equation of (2,3), slope 4
zhenek [66]

Answer:

y=4x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=4(x-2)

y=4x-8+3

y=4x-5

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3 0
2 years ago
Read 2 more answers
1. If a polynomial of Degree 4 has an imaginary zero at -2i and a real zero at 5, how many imaginary zeros does it have?
Vadim26 [7]

Answer:

Complex roots for polynomials equations will always come in conjugate pairs.  Since 1-2i is a root, 1+2i will also be a root.  (Just switch the sign of the imaginary part to its opposite.)

Step-by-step explanation:

So far we have 1-2i and 1+2i as roots.  We need two more to make a 4th degree polynomial.

x=1 with multiplicity of 2 means that we count the root twice when we write down the polynomial: (x - 1)(x - 1) = (x - 1)2

Putting it all together, we can construct our polynomial of degree 4 as

y = f(x) = (x - 1)(x - 1)[x - (1-2i)][x - (1+2i)]

Multiply the factors (FOIL):

[x - (1-2i)][x - (1+2i)] =

x2 - (1+2i)x - (1-2i)x + (1-2i)(1+2i) =

x2 - x - 2ix - x + 2ix + (1 + 2i - 2i + 4) =

x2 - 2x + 5

(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1

Now multiply the two underlined expressions:

y = (x2 - 2x + 5)(x2 - 2x + 1)

= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5  by multiplying term by term

= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.

4 0
3 years ago
Which values are in the solution set of 111 = z^2 + 11 if the replacement set is {10, 12, 14, 16, 18}?
pantera1 [17]

Answer:

10

Step-by-step explanation:

Z ^2+11=111

Z ^2=100

Z=10

8 0
3 years ago
Expand to write an equivalent expression: -1/4(-8x+12y)
lapo4ka [179]

Answer:

2x - 3y

Step-by-step explanation:

Distribute -1/4 to all the terms in the brackets.

-1/4(-8x) -1/4(12y)

2x - 3y

7 0
3 years ago
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