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3 years ago

If x²+(c-2)x-c²-3c+5 is divided by x+c the reminders is -1 find the value of c ?

Mathematics

2 answers:

patriot [66]3 years ago

7 0

Answer:

c = -3 = \\ c = 2

Step-by-step explanation:

when you do its shown in photo..........

frosja888 [35]3 years ago

3 0

Answer:

c = 3

Step-by-step explanation:

A polynomial f(x) divided by (x + c) has remainder f(- c)

Substitute x = - c into the polynomial and equate to the remainder - 1

(- c)² + (c - 2)(- c) - c² - 3c + 5 = - 1 , simplify left side

c² - c + 2c - c² - 3c + 5 = - 1 , collect like terms on left side

- 2c + 5 = - 1 ( subtract 5 from both sides )

- 2c = - 6 ( divide both sides by - 2 )

c = 3

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What is the 4th term of the expanded binomial (2x – 3y)^6

san4es73 [151]

Answer:

The 4th term of the expanded binomial is $-4320x^3y^3$

Step-by-step explanation:

Considering:

$(x+y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k}y^k$

$(2x-3y)^6 = \sum_{k=0}^{6} \binom{6}{k} (2x)^{6-k}(-3y)^k$

Now, you gotta calculate for every value of $k$

$(2x-3y)^6 = \binom{6}{0} (2x)^{6-0}(-3y)^0 + \binom{6}{1} (2x)^{6-1}(-3y)^1 + \binom{6}{2} (2x)^{6-2}(-3y)^2 + \\$

$\binom{6}{3} (2x)^{6-3}(-3y)^3 + \binom{6}{4} (2x)^{6-4}(-3y)^4 + \binom{6}{5} (2x)^{6-5}(-3y)^5 + \binom{6}{6} (2x)^{6-6}(-3y)^6$

I will not write every product, but just solve following the steps:

For $k=0$

$\binom{6}{0} (2x)^{6-0}(-3y)^0$

$\frac{6!}{(6-0)!(0!)} (2x)^{6-0}(-3y)^0$

$\frac{6!}{6!} \left(2x\right)^{6-0}\cdot 1$

$1\cdot \:1\cdot \left(2x\right)^{6-0}$

$2^6x^6$

$64x^6$

$(2x-3y)^6=64x^6-576x^5y+2160x^4y^2-4320x^3y^3+4860x^2y^4-2916xy^5+729y^6$

8 0

3 years ago

What is the vertex of the graph of f(x) = 4(x+5)²-1?

vodomira [7]

Answer:

The vertex is (-5,-1)

Step-by-step explanation:

f(x) = 4(x+5)²-1

This is written in vertex form

y = a(x-h)^2 +k where ( h,k) is the vertex

f(x) = 4(x- -5)²-1

H is -5 and k = -1

The vertex is (-5,-1)

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3 years ago

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lyudmila [28]

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3 years ago

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PtichkaEL [24]

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3 years ago

(a) An angle measures 56º. What is the measure of its complement?

vodka [1.7K]

Answer:

A: 34 degrees

B: 102 degrees

Step-by-step explanation:

Complementary angles = 90 degrees

Supplementary angles = 180 degrees

(a) 90 - 56 = 34

(b) 180 - 78 = 102

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4 years ago

If x²+(c-2)x-c²-3c+5 is divided by x+c the reminders is -1 find the value of c ?​

If x²+(c-2)x-c²-3c+5 is divided by x+c the reminders is -1 find the value of c ?