Factor each expression completely.   a. 2x2 -7x + 3 b. 2 cos2 u - 7 cos u + 3

Q: Q.2. If 7, 1, and r, be the roots of 2x +5x-330, then find: (a) E (b) Er

A: For given cubic equation first, we will find the roots of equation. so we will get real and complex…

Q: If -8cos20 – 4 = -12, where 0 < 0 < 2T, what are the values of 0? List your answers as exact answers…

A: Given-8cos2θ-4=-12where 0≤θ≤2π

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A: To find the interior angles of a parallelogram.

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Q: a) z + b) z- w c) w - d) w 2 IN

A: Use the complex number and its conjugate pair concept.

Q: The product of (3-2) and (7+ 6i) is A 21 – 12i B 33 + 4i 9-4i D 12 + 16i C.

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Q: Rewrite the equation as a quadratic in cos x, and then factor. 56 - 56 cos? x = 56 – 28 cos x 56…

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Q: Which of the following is not a root of the cube root of 1? o 1 iv3 - 2 iv3 - - 2 2 1 iv3 - 2 2

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Q: Q7)A) Find the three cube roots of –i .

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Q: Determine the values of m so that the roots of 2a? ma – 8 = 0 differ by m -1. O 9 and 3 O -10/3 and…

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Q: Solve each equation for x. (a) 2-5 = 3 (b) In x + In(x – 1) = 1

A: (a) Given: 2x-5=3  ……1

Q: 7. Find the product. Write the answer in standard form. a. (-4+2i)² b. (4+7i)(-2-5i) c. (6+8i)…

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Q: If a, b, and c are in A.P. and one root of the equation is 2, then find the other root. ax²+bx+c=0

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Q: the Syst 23e -Sy=2 Solve stem =11 %3D 30C+ し

A: To solve the system of equations. 2x-5y=11 3x+4y=5 Solution: We have equations: 2x-5y=11…

Q: a+b Let a * b = 2 What is its identity element?

A: Group theory: Identity element of the group

Q: Solve: 4x – 7 > 8x +5 The answer has form: OxA Where A = Preview

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Q: Factor each expression completely. (a) 3x2 – 13x + 4 | (b) 3 cos2 0 – 13 cos 0 + 4

A: (a) part  Consider the given expression  3 x2-13 x+4 Then, 3 x2-13 x+4=3 x2-x-12 x+4=3 x2-x-12…

Q: ) = 2 и X=I1,I2 ... In

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Q: Use the given information to find the remaining roots. -2+2i is a root of x-x-6x2-16x +48=0 The…

A: we use long division method

Q: O Let A1, A2, ·.., A5¡be the roots of 6-/51. Show that 51 >d; = 0 i=1

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Q: 4. Find all the roots for each expression. (a) (-1)4

A: This is the problem of complex analysis.

Q: Write the sum as a product: cos(24.2v) + cos(12.2v)

A: cosC + cosD = 2 cos (C+D)/2 × cos (C-D)/2

Q: Which of the following is the principal square root of - 4?(a) - 2i  (b) 2i  (c) - 2  (d) 2

A: The given number is -4. If N is a positive real number, then the principal square root of -N,…

Q: E(x)=x+4x³+2x²+20x–15, and one of the roots is 5 i.

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Q: 2. Write each of the given numbers in the form a+bi : eAi – e-4i (a) 2i + (b) 5e(6+§) + i, (c) .+-

A: To write the numbers in the form of a+ib

Q: What is the jth root of j? Select the correct response: O -1.24 O -j0.45 O 0.21 O 4.8

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Q: 15. Find the two square roots of the following and write your answer in standard form. 2+ 2iv3

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Q: 17. The sum and product of the roots are 4 and 3 respectively. Which of the following represents the…

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Q: Factor the expression completely. 3 cos2 a- 13 cos a- 10

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Q: express each of the following in simplest radical form. All variables represent positive real…

A: Given variable;                      12a2b5a3b3

Q: Find a and b such that a, b are real numbers andi 32 6 www = a + b/2 3y2

A: RATIONALIZING THE GIVEN EQUATIONS LEFT HAND SIDE. Rationalization generally means to multiply a…

Q: Determine the product of (1 + 1) and (1– 3/) A) 2-4i B 2- 2i c) 4- 2i D) 2+ 4i

A: Product of (1+i) and (1-3i)

Q: 2. | Write each of the given numbers in the form a+bi : e4i – e-4i (а) 2i (b) 5e(6+) + (c) e

A: The given numbers area)e4i-e-4i2ib)5e6+iπ6c) e9eiπ3

Q: Solve the equation 2tan-a = 2tan a given that - < a < n. Separate your answers with commas.

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Q: Bnd The lengi and divection op AxB BXA if+ A=2i, B=-3j. %3D

A: We have to find the length and direction.

Q: Find each product. Write each answer in 13. (3 – 5i)(6 + 7i) = 14. (6+ 6i)(3 – 6i) = 15. (7 – 7i)(10…

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Q: Match each expression to an equivalent expression. A: 2i · 8 1: -16 B: 16 2: 16 C: (2i)* 3: -16i D:…

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Q: Solve x=√5x−9+1 If there is more than one solution, list them all, separated by commas. If there is…

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Q: Evaluate Sigma7i=3 i^2 − √ i + 2      (i+2 is under the square root)

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Q: If a = -4 - 5i and b= 2x, then find the value of a b in fully simplified form. Answer:- Submit…

A: Given: ------------------------------------------ To determine: simplified expression.

Q: Write the product as a sum or difference: 14 cos(41v)cos(18v) =

A: Given 14 cos(41v)cos(18v)We know that cosu cosv=12cos(u-v)+cos(u+v)From the given equation: u=41v…

Q: Write the sum as a product: cos(10.7g) – cos(5.7g)

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Q: 34. Use the one-point test to solve 6x + 5y > 20. Shade the solution.

A: Consider the given inequality 6x + 5y &gt; 20

Q: Algebraically determine the values of h and k to correctly complete the identity stated below. 3x3 –…

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Q: If a, ß be the roots of ax² + 2bx + c = 0 and a +8, B+8 be those of Ax² + 2Bx+C =0, then 2 6² b 1 ac…

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Q: Factor each expression completely. (a) 2x2 - 11x + 5 (b) 2 cos? e - 11 cos e + 5

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Q: Factor each expression completely. (a)     2x2 − 11x + 5

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Q: 12. Use a 30 – 60 – 90 triangle to find the cosine of 60°. O V3 O 2v3 3 O v3 2

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