A linear equation is said to be degenerate if all the coefficients are zero, that is if it has the form. . a. X1+0 X2+.+0Xn= 1 O b. X1+2 X2+.+nXn= 2 C. X1+2 X2+...+nXn=D 1 d. 0X1+0 X2+.+0Xn= 0

Q: g (x) is a polynomial that has a leading coefficient of 3 and the folla 2. Choose all the correct…

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Q: ii Sketch y = f(x), y= f¯'(x), and y = x _on the same set of axes.

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Q: Which function represents a transformation of the parent quadratic function and 2 units down? a. fx)…

A: Here we have to transform the parent qau8dratic function 6 units to the left and 2 units down.

Q: If possible, write -4 – 2x – 3x as a linear combination of x - x?, -a? and 1 + x². Otherwise, enter…

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A: For solving a polynomial equation put

Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

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Q: 3x+ 4xx+16x+20x+9 (x -2Xx*+3)'

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Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

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Q: a. Factor f(x) = 9x - 33x + 19x - 3, given that 3 is a zero. b. Solve. 9x - 33x + 19x – 3 = 0

A: Given function: fx=9x3-33x2+19x-3 3 is a zero of fx, that is x-3 is a factor of fx.

Q: Determine x so that x, 2x + 7, 10x -7 will form a G.P

A: Topic- geometric Progression In G.P ,coomon ration between consecutive terms is  same for all terms…

Q: = 1+x T(₁) = 7(x) = 7 (x²) = 4 + 3x. 3-22 2.1 Find T( a +bx+en 2.2. 2 2 = d -x73x T(4-x + from the…

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Q: After making a change of variable, the quadratic form x+ x+ x + 6x1x2 + 14x1x3 + 6x2X3 is…

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Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: Determine whether x = (0 3 0 9 2) is a solution

A: Given that max   2x2+2x5s.tx1+x2-x5=1x2+x3+x5=5-2x2+x4+x5=5x1,x2, x3,x4, x5≥0 To determine…

Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: Find the point 2/3 of the way from (−6, 6, 5) to (−8, −8, −5). P=(??,?)

A: Here we have to find the point 2/3 of the way from (-6,6,5) to (-8,-8,-5).

Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X

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Q: If P = 7x +7x +8 and P2 = 2x - 3x-4 then 2P + P2 = %3D O 16x? + 11a + 12

A: P 1=7x2+7x+8 and P2=2x2-3x-4 Then 2P1+P2 =2(7x2+7x+8)+(2x2-3x-4) =14x2+14x+16+2x2-3x-4=16x2+11x+12

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: What is the resulting diagonalized

A: A quadratic form may be diagonalized by the following procedure: Find a variable x such that x2…

Q: 5. a. Solve each equation. Show all work clearly. 8 2 x² + 6x x² + 3x x+5 x² + 9x + 18 b. 8 2x - 3 +…

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Q: x + 2y +4z - 5t 3x - y + 5z + 2t 5x - 4y + 6z+9t 3 = 4 = 2

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Q: Find the linear factors of 2x²-y-x + xy + 2y - 1.

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Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: Which of the following is a polynomial? i. x³ + 2x² – 5x+ 2 ii. 5.x³ + 3.x² + x+ 2

A: Given expression, i. x3+2x2-5x+2ii. 5x3+3x2+x+2iii. 5x2+3x

Q: What are the zeroes of y =x- 1x - 20?

A: Solution:-

Q: 6. Show that the quadratic equation ax² + b – a = 0 (a± 0) has two distinct real roots.

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