Suppose that f(x) O a) Ob) O c) 3 (12)+12 3 3(37³12)-1 7 3(3-1)+2 3 d) 3(3-1)-1 - 3 2³12 and g(x) = 22²1 then (fof)(x) is x+12 2x-1 e) None of the above

Q: DETERMINE the qoutient Q(X)AND REMINDER R(X)FOR (x³ -2x² +112x+3) ÷ (x+3)

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Q: ) and () -1 -2 -1 4/ 2 0 The product of

A: The given matrices are: A=-1322      and     B=-20-14

Q: 412.4) 1] For the bounded region, what is the value ofR (4x + 2) dA? y 2x a) 5 b) 12 c) 22 d) 8 e)…

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Q: Is (x – 5) a factor of (2x – 9x² – 12x + 35) ? Justify your answer

A: Given equation is  2x3 -9x2-12x+35 Whether (x-5) s a factor or not?

Q: 8 Find all zeros. a) f(r) = 23 + 3r? – 4x – 12 b) f(r) = a – 7x4 + 10r3 + 14r² – 24x c) f(r) = r(r –…

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Q: 4. Find the product of (x +8)(x- 3) (X)

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Q: Differentiate f (x) = 71n(x²-6x+3) A. (2x – 6) 7ln(x²-6x+3) f' (x) = x2 – 6x + 3 - В. In(7) (2x – 6)…

A: Given query is to find the derivative of the expression.

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

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Q: 13 - What is the Lagrange interpolation polynomial which passes through (2,2) and (4,6)

A: We use the Lagrange interpolation formula

Q: 16 Evaluate x1² (x4 – 2x² + 1)²dx. - 81

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Q: 11. 2b2 + 5b – 12 A) (b+ 4)(2b - 3) C) (b – 4)(2b – 3) B) 2(b + 4)(b – 3) D) (b – 4)(2b + 3) Factor.…

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Q: If fx)x3x+1 then fx) (In x]3x (3x+1}x3x (2x+ In xr3x+ 1 3x13r 3 Inx 3x+13 In x

A: Note:Hi there! Thank you for posting the question. The first line in the image is not very clear.…

Q: 3) Show that (a + b +c)² = a² + b² + c² + 2ab + 2ac + 2bc is a polynomial identity.

A: To show: a+b+c2=a2+b2+c2+2ab+2ac+2bc

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: S (x + 7)dx 15x²+x-2 A. In 2 (3x-1)3 (5x+2) +C B. In 3 (3x-1)2 (5x+2)3| +C C. ln (3x-1)³ || (5x+2)3…

A:

Q: Perform the operations indicated. "G:)-(;3) (a) (2 5 -3) 4 -2 5) 3 2) (b) /-6 -2 -3 3 (2 5 -3 7) (c)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: V. (a) Find the product of: 1. (x+2)(x + 2) 2. (2x – 1)(2x - 1) (b) Make a general rule about…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 8) What is the result when x2 +x – 2 is subtracted from -x² +x – 4?

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Q: (x+2)(x+ 1) y = 2x-4 (2x +3)(2x – 4)– 2(x² + 3x + 2) (2x – 4)? O a.

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Q: Which polynomial has the zeros 1, –1, & -4? O y = (x+1)(x – 1)(x+ 4) O y = (x+1)x –1)(x – 4) o y…

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Q: Show that whether x5 + 10x3 + x + 1 is O(x4) or not?

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Q: 3x2 – 4x + 5 (x – 1)(x² + 1)

A: we will solve the integral by using partial fraction decomposition.

Q: Find the product of (2x+ 3)(3x- 2) A 6x + 9x – 5 B 6x + 9x - 6 C6x +5x- 6 D 622 6x + 5x-5

A: (2x+3)*(3x-2)=?

Q: Find the coefficient of x24 in (x + x2 + x3 + x4 + x5 )8

A:

Q: (x² + 7x + 12) + (x + 3)

A: Given Data: Division: x2+7x+12÷x+3 Factorise the numerator equation.…

Q: If one zero of a polynomial 3x? – 8x + 2k +1=0 is seven times the other then k = 2 1 (D) none (A) 5…

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Q: Which of the following is NOT a factor of x6 – 4x* – x³ + 4x? x - 1 x? - 4 x³ + 1

A: To find the factor of x6-4x4-x3+4x

Q: What must be added to (2x +3y) to make it 4x2 +5xy+ 9y2? VII. VI. Find the product of: (a)…

A: Solution (VI):                      2x+3y2=2x2+2×2x×3y+3y2…

Q: a) 1 (x-1)(x+2)(x+4)

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Q: Prove that the expression 2y2 - 128 is equal to 2(x2+2) (x² – 2) (x³ + 4x* + 16).

A:

Q: શે-2 – 7) 4x(3-2x) 1$'+107 d) (12x – 6x) + (3x) f) -8y* +24y 4y

A:

Q: What is the coefficient of x 9 in (x 3 + x) 5?

A: What is the coefficient of x9 in x3+x5.

Q: What is the coefficient of x9 in (x + 2)¹5?

A: Solution :- x+215Apply binomial theorem:  a+bn=∑i=0nnian-ibia=x,  b=2=∑i=01515ix15-i· 2iExpand…