How can I quickly tell that x2 + 6x + 7 is prime?

Q: 6. What should be added from 2x +3x` -- x² -1, so that it becomes exactly divisible by (x-2)?

A:

Q: Is there a way to eliminate some of the combinations of factors for x + bx + c when c is positive?

A: To eliminate the factors from the quadratic

Q: When multiplied out, what are the first 4 terms of (x + 3y)0?

A:

Q: What is the value of the 5th term of the expansion (2x-4)^4

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Q: For А - 2аx + Зау + az and В %3 5аx - 2ау - az OAB is:

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Q: lim, (27x - 8)(3x² – 2x)-1 ズ→ O 18 0. -9 9 /3

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Q: Find 노 %3D 3x-7 9. 4(3x-7)3/2 4(3x-7)3/2 6. 4(3x-7)3/2 4(3x-73/2

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Q: NCx) = x² - 2x - 5 MQx) = 2x+3 N of M

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Q: How would you convince someone that (x - 4)/(4 - x) = -1 for all real numbers except 4?

A: here given rational equation such that x-44-x=-1where x≠4

Q: ,2 Evaluate x-6x +3 for x= 3+ i

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Q: Зх + 2у %3D -38 5x – 8y = 16

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Q: Find the sixth term of (3x-4y)^8?

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Q: How would you convince someone that x6/x2 is x4 and not x3?

A: Given expression:                                 x6x2

Q: Find the 3rd term (2x-4)3

A: To find  the third term of the given extension use the following formula.

Q: What is the coefficient of the term x^3y^2 expansion of (3x - y2)4?

A:

Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: Explain why 3-1 does not exist in Z24.

A: Proposition: If is element in a ring then cannot be both zero divisor and unit. Given:

Q: 5) fx)=-16r² + 24x – 5 6) Ax) = -4x² + 6x + 18

A: Given:- 5.  f(x)=-16x2+24x-5 6.f(x)=-4x2+6x+18 To fimd:- Maximum or Minimum value of given functions

Q: What is the 2nd term in the expansion of (3z-4y)9

A:

Q: What is the value of the 4th term of the expansion of (y+2z)8

A: We have to find fouth term

Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

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Q: How is [(36-x^2)^2-(36-6x)] incorrect?

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Q: 16. When (2x- 3)' is subtracted from 5x, the result is x²-12x-9 2x - 12x + 9 3x + 12x-9 4) x + 12x +…

A: Given:         2x-32 is subtracted from 5x2 is    here 2x-32 is in the form of a-b2=a2+b2-2ab

Q: 8. 2x+7y s-7

A: Given, 2x+7y≤-7

Q: What happens if you take B = 2p in the addition formulas? Do the results agree with something you…

A: According to the question,   The addition formulas are given by,…

Q: S 2dx (3x412x -15) +12x -15)2

A:

Q: How can I get from 7.9y / 9x = 19 / 80 to y = 0,2706x ?

A: 7.9y9x   = 1980  Multiply both side 9x,9x*7.9y9x   = 9x*19807.9y= 9x*1980Divide both side by…

Q: How do I simplify (7/4x^(3/4)) - (1/x^5/4) for it to become 7x^(1/2) - 4/ 4x^(5/4)

A: To simplify 74x34-1x54

Q: divide x – 6x² – 9 by x + 6 | 1089 O x³ + 6x² + 42x + 180 + x+6 -x3 – - 6x² + 30x – 180 10 X- 1071 O…

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Q: Find the 4th term ( 2x + 3)4

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Q: 9. -9x-19 2 17 Pink -8x-14 22 10. 16-x > 9 Brown -11-x2-7

A: 9. -9x-19≥17  -9x≥17+19       -9x≥36                              9x≤-36       x≤-4

Q: what is 7x to the 2nd power x 4x the the 6th power?

A: (7x)2 × (4x)6 = 49x2×4096x6

Q: Express xo - 9x9 + 2x + 3x -1 in big-O notation.

A:

Q: What is the coefficient of the term containing x^2*y^3 in the expansion of (2x-3y)^5?

A: In order to find the coefficient use binomial theorem, which is given below.

Q: 13. If mED = (9x - 3)', mBF = (15x-39)', and mZBCF = (11x – 9)", find mED.

A:

Q: Can you tell me if I'm getting the right answers for -7π/4? Also, what am I supposed to say for the…

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Q: (-4)* 5k +1 k=1

A: We have to find if the series convergent or divergent.

Q: What happens if you take B = 2 π in the addition formulas? Do theresults agree with something you…

A: Since, the addition formulas are given below:-sin (A+B)=sin A cos B +cos A sin B -(1)and cos…

Q: how did you get 2x in part c?

A: Joint probability density is used to understand the probability value of several continous random…

Q: What is the 6th term of (x - 1)¹0?

A: Given problem:- what is the 6th term of (x-1)10

Q: How do I subtract -9n2 - 3n + 3 from -n2 - 6n + 7  ?

A: topic- subtraction of algebraic expressions like terms are added and subtracted from like terms

Q: Find the 3rd term  (5 -3x)5

A:

Q: When multiplied out, what are the first 4 terms of (x + 3y)'"?

A: Here we have to find the first four terms of x+3y10

Q: Find the middle term from Binomial Expression (x – 3y)15 |

A: Here, the power of the expansion is n=15, which is odd. So, there are two middle terms: n+12th &…

Q: If (x+2y) = -4 and (3x) = 6, then

A: Given, (x+2y) = —4 and 3x = 6 We want to find the Value of (x²+2xy)

Q: How does k^2 (-uv) become (I-k^2)?

A: The cross product of two vectors takes the opposite sign when the order is changed. u×v=−v×u…

Q: On step 5, where did the 8 come from in x-3+8?  This is where I'm stuck

A: ∫au+bn du =1aau+bn+1n+1+C ∫11-u2 du =sin-1(u)+C

Q: What is 2n x 4

A: 2n×4=(2×4)n

Q: 22) -3.xy + 5 = 4x?

A: 22. -3xy +5=4x2

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.