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3 years ago

A polynomial p(x) is divided by a binomial x-a the remainder is 0

1 answer:

3 0

If this is the case, then you know by the polynomial remainder theorem that $x-a$ is a factor of $p(x)$ , so there is some polynomial $q(x)$ such that

$p(x)=(x-a)q(x)$

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Simplify The expression Try This question out and I’ll give you brainliest

arlik [135]

Answer:

√80=16√5

2√45

2×9√5

18√5

16√5-18√5

-2√5

hope that helps -2√5

3 0

3 years ago

Find all the zeros if the function including multiplicity f(x)=(x+7)(x-3)^2(x-2+i)(x-2-i)

NISA [10]

Solve for x. The multiplicity of a root is the number of times the root appears.
x=-7 (multiplicity of 1)
x=3 (multiplicity of 2)
x=2-i (multiplicity of 1)
x=2+1 (multiplicity of 1)

6 0

3 years ago

A penguin walks 10 feet in 6 seconds. At this speed:

AlexFokin [52]

Answer:

1. 75 feet

2. 27 seconds

Step-by-step explanation:

1. If six seconds is equal to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)

2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to 3 seconds then we get 24 + 3 = 27

7 0

3 years ago

What is the term for two fractions that are equal to each other?

ioda

Answer: Equivalent Fractions

For Example,
• 1/2 = 2/4
• 3/6 = 6/12
• 2/8 = 4/16

6 0

2 years ago

PLEASE HELP!!! NEED ANSWERS TO THESE QUESTIONS..

yaroslaw [1]

Answer:

12. Option A is correct

13. Option A is correct

14. Option C is correct

15. Option D is correct

16. Option A is correct

Step-by-step explanation:

12) Lowest Common Denominator of

$\frac{p+3}{p^2+7p+10} \,\, and \,\, \frac{p+5}{p^2+5p+6}$

We should find the factors of denominators and then find the LCM of the denominators.Finding LCD is same as finding LCM.

Factors of p^2+7p+10 = p^2 +2p +5p+10 = p(p+2)+5(p+2) = (p+5)(p+2)

Factors of p^2+5p+6 = p^2+2p+3p+6 = p(p+2)+3(p+2) = (p+3) (p+2)

Now, rewriting the above equation with factors and finding the LCM

$\frac{p+3}{(p+5)(p+2)} \,\, and \,\, \frac{p+5}{(p+3)(p+2)}\\$

LCM of (p+5)(p+2) and (p+3)(p+2) = (p+5)(p+3)(p+2)

The LCD is (p+5)(p+3)(p+2).

So, Option A is correct.

13. Divide

$\frac{40x}{64y} \,\,by\,\, \frac{5x}{8y}$

by stands for division. The equation can be written as:

$\frac{40x}{64y}\div\frac{5x}{8y}$

Division sign changed into multiplication, we take reciprocal of second term i.e,

$\frac{40x}{64y}*\frac{8y}{5x}\\\\Solving\\\frac{40x*8y}{64y*5x}\\\\\frac{320xy}{320xy} \\\\1$

So, Option A is correct.

14. Simplify:

$\frac{x+2}{x^2-6x-16} \div \frac{1}{9x} \\$

Factors of x^2-6x-16= x^2 -8x +2x -16 = x(x-8)+2(x-8) = (x-8)(x+2)

Putting factors in the above equation and changing division sign with multiplication we get,

$\frac{x+2}{(x-8)(x+2)} * \frac{9x}{1}\\\frac{9x}{x-8}$

So, Option C is correct.

15. Simplify

$\frac{4}{\frac{1}{4}-\frac{5}{2}}$

Solving denominator,

Taking LCM of 4 and 2 and subtracting we get

$\frac{4}{\frac{1-(5*2)}{4}}\\\frac{4}{\frac{1-10}{4}}\\\frac{4}{\frac{-9}{4}}\\\frac{4*4}{-9}\\\frac{16}{-9} \,\,or\,\,\\\frac{-16}{9}$

Option D is correct.

16. Simplify:

$\frac{7x+42}{x^2+13x+42}$

Making factors of x^2+13x+42= x^2 +6x+7x+42 = x(x+6)+7(x+6) = (x+7)(x+6)

Taking 7 common from numerator and putting factors in denominator we get,

$\frac{7(x+6)}{(x+7)(x+6)}\\\\Cancelling\,\, x+6 \,\, from\,\, numerator \,\, and\,\, \\\\\frac{7}{(x+7)}$

Option A is correct.

8 0

3 years ago