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Gelneren [198K]
3 years ago
8

If (×+1 ) and(×+2) are factors of the expressionx^4+ax^2+b , find the value of and b, with these value of and factorize complete

ly.​
Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

Step-by-step explanation:

(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)

Since x+1 is a factor, b+(a+1) = 0.

(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15

Since x+2 is a factor, -3a-15 = 0

a = -5

b = 4

x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)

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cricket20 [7]

The way to multiply fractions include:

  • The first step when multiplying fractions is simply to multiply the two numerators.
  • The second step is to multiply the two denominators.
  • Finally, simplify the new fractions

<h3>What are fractions?</h3>

It is important to note that fractions are part of whole numbers.

Fir example, to multiply 2/3 by 1/5 will be:

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7 0
1 year ago
Bonita said that the product of 5/6 times 1 2/3= 7/3. How can you tell that her answer is wrong?
Masja [62]

Answer:

B. 5/6 of a number cannot be greater than the number.

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6 0
2 years ago
Simplify and determine the coefficient of (- x)(3y)(-2x).
Valentin [98]

Answer:

6yx2

Step-by-step explanation:

brackets means multiply hence -x×3y×-2x

6 0
2 years ago
Can i please get help on this Question?
Vladimir79 [104]

i would say the answer is 17  because i used the calculator

3 0
3 years ago
The nth term of a sequence is 2n-1.
Zinaida [17]

Answer:

25,31,37

Step-by-step explanation:

n should be positive integer number. The three numbers in both sequences have different term number n but same value. We can equalize each nth term in the question to "a" which represents one of the three numbers.

a=2n-1, then n=(a+1)/2

a=3n+1, then n=(a-1)/3

remember the two n above are different but both should be positive integer. That means, we have to find the "a" number that gives me an integer n for the first equation. The possible numbers between 20 to 40 are 22,25,28,31,34,37,40.

The possible numbers for the second equation are 21,23,25,27,29,31,33,35,37,39.

Now find the common numbers between the two sets above. They are 25,31,37

6 0
3 years ago
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