Q1. Solve the following: (i) 4 − x ≤ 13 (ii) 2(x − 6) + 3x ≤ 8 (iii) (iii) x 2 + x 3 = 5     Q2. Factorise completely (i) 3x − 6y + ax − 2ay (ii) p 2 − 1 (iii) x 2 − x − 12 (iv) 2x 2 − 5x − 7   Expand and simplify (i) (2k − 3)(k − 2)

Q: How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with:…

A: x2-6x+12-y=0 cannot be expressed as (x-3)2+4-y=0 because (x-3)2+4-y=0 when expanded will give…

Q: -9x-17 x+1 1. Perform the indicated operations and simplify x2-4x-21 x-7

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Q: 4(2x+3)-3(5-x)=2(x+30)

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Q: 9. 5x² - 2x + 37 = x² + 2x

A: using quadratic formula  and find its discriminant

Q: 38 a Complete the square for x² – 8x + 25. b Hence find 2x +7 dr. x² - 8x + 25

A: To complete the given square and to evaluate the given integral.

Q: (f) 2x2 + 2r + 11 dr. J (2x + 3)(x² + 4)'

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Q: 2x+1 (x2 +x+1)2 3/2

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Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

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Q: 5 -x° + 2x 3 dx .2 x +4

A: Consider ∫x5-x3+2xx2+4dx = ∫x5+4x3-5x3+2xx2+4dx= ∫x5+4x3-5x3-20x+2x+20xx2+4dx=…

Q: Which of the following are solutions of the equation (2x - 3)(3x+5) = -14? (A) x = 1/3 and x = -…

A: topic - quadratic equations

Q: If X, Y have some bivariate density, prove that Var(X – Y) = V ar(X)+Var(Y) – 2Cov(X,Y). | (justify…

A: The objective is to show var(x-y)=var(x)+var(y)-2 Cov(x,y)

Q: x2 - 8 R2.1 J x2 + 5x + 6 Answer with text and/or attachments

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Q: [(3x2 – 2x + 3) dx - (A) x - x² + C (B) 3x - x2 + 3x + C (C) x - x + 3x + C (D) (3 - 2x + 3)? + C…

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Q: What are the real solutions of 7(x-2)/x+6 = 2 ? And are there any extraneous solutions?

A: 7(x-2)/x+6 = 2

Q: (2-V360°=-V2-3/6s

A: Given equation is: (2-√3i)z3=-√2-3√6i We have to find value of z

Q: 2. Show your work: (x²-3x³ + x² + 4x-5)+(x²+x-2)

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Q: √(3x − 5)(x² + 1)da

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Q: It is given that k is a root of the quadratic equation x +x+c= 0. (a) Express c in terms of k. (b)…

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Q: x2 -x + 14 dx (x +2)(x² + 4)

A: We  have to find solution

Q: 2x² 17x + 6 - ہے رہ (x − 2)(x² + 4x + 8)

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Q: 6​[2−6​(−8x−5​)]=288x+192

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Q: 2x2 +x + 1 dx (x+1)(x2 + 1)

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Q: find the missing P and Q (x+P)(x+7)=x2+15x+Q

A: Given

Q: Evaluate the following. (Remember to show your working, and give the exact answer.) (a)…

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Q: 4x3 + 10x2 + x – 9 | 4. Find (Make sure to show all your work.) J (x + 2)2(x2 + x + 1)"

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Q: (b) x 9 + 2-3 3 4 -5x x+3 = -5 X

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Q: Q1. Perform factorization of zero: Gy - 5) (3x³ – 81)(4x + 13)(v3x – 1)(12x + 12) = 0

A: (78y-5)(3x3-81)(4x+13)(3x-1)(12x+12)=0⇒(78y-5)=0 ⇒78y=5 ⇒y=8x57⇒y=407.Or 3x3-81=0⇒ 3x3=81…

Q: (x-4) (x-5)=0 x = 4 and x=5 3. Solve: X = √x-5 A =D 6 Square both sides: Multiply both sides by 36:…

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Q: 3. State the remainder when f(x) = 2x² −x³ +1 is divided by (x+1).

A: We can find the remainder as below.

Q: 4x* +12x +17x² +10x+2=0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Polynomials

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