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MissTica
3 years ago
13

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?

Mathematics
1 answer:
PolarNik [594]3 years ago
4 0
Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5. 

Therefore,

p(k) = 0
p(-5) = 0

so the answer is choice D. 
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if alpha and beta are the roots of the equation 3x^2-9x+2=0 find the values of: (I) alpha ×beta + alpha^2 × beta. (ii) alpha^2-a
Kryger [21]

Answer:

in steps

Step-by-step explanation:

The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers  for each questions

3x²-9x+2=0

x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)

x = (9 + √57) / 6   or x = (9 - √57) / 6      (alpha and beta) or (beta and alpha)

(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)

   = ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))  

   = ((9² - (√57)²)/36) (10 ± √57)

   = (24/36) (10 ± √57)

   = 2/3 (10 ± √57)   or (11.7 or 1.63)

(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab

if a is alpha    

=​ ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))  

    = √57/3 + 2/3

     = (√57 + 2) / 3

if a is beta

((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))  

    = - √57/3 + 2/3

     = - (√57 + 2) / 3

3 0
3 years ago
D=rt solve the equation for the red variable which is T
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t=D/r

Divide r by both sides to get t by itself.

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2 years ago
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That's a pretty confusing one. I think it's 10 minutes.
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3 years ago
Write the abbreviations for a. Fifteen degrees below zero Fahrenheit b. Seventy-eight degrees below zero Celsius c. Twenty-five
IRISSAK [1]
Answers are:
-15<span>°F
-78</span><span>°C
</span>23<span>°C
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</span>
4 0
3 years ago
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A student was given two data sets, Set A and Set B. Which of the following
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Answer:

I don't know were the statement are but here are the specs of each set

Step-by-step explanation:

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mode; no mode

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hope this helps sorry for late answer :)

5 0
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