Q.22 Factorise using factor theorem: (i) y² -5y+6 (ii) x² +4x-5 (iii) y² –2y-15 Factorise: (i) x - 2x -x+2 (ii) 2x³ –x² –13x-6 (iii) x³ -6x² +11x-6

Q: (iv) -3/2 (+4)³/2 – 3/2 (x+ 4)-3/2

A:

Q: Factor each expression completely. (a) 4x2 – 25 (b) 2x2 + 5x – 12 (c) x- 3x? – 4x + 12 (d) x* + 27x…

A: Given , The expression to be factorized completely. a).4x2-25 b.)2x2+5x-12 c.)x3-3x2-4x+12

Q: 6. Factor: x* - 45x2 + 324 A. (x-6)(x-3)(x2) B. (x-6)(x- 6)(x+3)(x+ 3) C. (x+ 6)(x+3)(-x²) D.…

A:

Q: 4x-y<-1

A: Given  4x-y&lt;1 Can be rewritten as y&gt;4x-1 So we take the area above the line y = 4x -1 And all…

Q: represented by ( ). Exercise 3: are any extraneous solutions. 1. X-3 +. 2х - 3 2. 3 X +1 3 7x 3. x-5…

A: These question are based on solution of equations .with the help of general operations and cross…

Q: Given: P(x) = (2x + 5)² – (x – 4)² Q(x) = (3x + 1)(5x – 2) – (3x² – 14x – 5) + (9x² – 1) 1) Show…

A: As per our norms we have to write three multiple questions at a time kindly repost remaining…

Q: (7x² – 121a + 516 (x – 4)(x – 8)?

A:

Q: K2. What is the remainder when x5+2x4 - 5x³ - 3x² + 4x - 10 is divided by (x+3)? W Ox4x³2x² + 3x - 5…

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Q: Factor each expression completely.

A: Since you have asked multiple subparts, we will solve only first three subpart. To get remaining…

Q: Factor the trinomial 18x² - 33x + 15 where A = B = C= 18x² - 33x + 15 = (Ax - B)(Cx - D}) , and D =…

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Q: What is the completely factored form of xy – xn

A: Given : xy3 - x3y

Q: 3 I (x + 1) a factor of 2x° + 3x – 2x – 3? Show how you know. -

A: We need to show that (x+1) is a factor of the given polynomial or not.

Q: 13. (4а - 3b) - (5а — 2b) 14. (2c + 3d) – (-6d – 5c) 15. 2 (5x² + 6x – 9) – (x² – 3x +7)

A:

Q: Subtract the polynomials and simplify the result completely: (- 3x° + 7xª – 4x – 6) – (– 12z" – 8a*…

A: To find the answer open the bracket and subtract the coefficients of the same degree then simplify.

Q: prize (a) x + 4x +3+ mx + 3m (b) 4x + 8 = 102 %3D

A: Topic:- factorisation

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 4y' - 12y = 0,…

A: Given equation is: y"-4y'-12y=0 ,y(0)=1,y'(0)=38 We have to find the value of y(x)

Q: (x+1) is a factor of x²+2x²+2x+1 Find the other factor.

A: is a factor of .To find other factor.

Q: 16. Factor. Check all that apply. (Hint: There are two correctly factored answer choices.) 922 – 6x…

A:

Q: The polynomial p(x) = 6x4 - ax3 - bx2 + 28x + 12 where a and b are constant, has factors (x+2) and…

A: The given polynomial is p(x)=6x4-ax3-bx2+28x+12 since x+2 is the factor so x=-2 will make the…

Q: Factor completely: O 4y(7+ y) ¹9 (21+ 4y) 4y(7+ y) ¹⁹ (12 + y) 4y(7+ y) (12 + y) O 4y(7+ y) (21 +…

A: I=12y(7+y)10+4y2(7+y)9

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

A: Given

Q: 1. [(b- 1)/ (8b? - 8b)] • [6b? + 8b] 2. [(x? + 2x) / 3x + 6)] • [(3x + 3) / (x + 1)] 3. [(3x + 21) /…

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Q: Q.20 Find the value of k if (x – 1) is a factor of 4x +3x -4x+k. Factorise: (i) 12x² – 7x+1 (ii) 84–…

A: As per bartleby guidelines we are supported to answer only first three subparts , kindly repost…

Q: y: -5x? +x2 + 20 x -C[ x

A: Given problem:- y=-5x3 +x2 +20x-4 To find:- Factor form of given equation

Q: Jacques is factoring 2x³ – 2x + 6x² – 6 - He says the fully factored form is 2 (x + 1) (x –-1) (x +…

A: To find the factor form of following expression  y = 2x3 - 2x + 6x2 - 6

Q: Factor: (b+10)+2(b+10) O A. (t+2)(t+10) O B. (t+b)(b+10) Oc (t+2)(b+10) O D. (t + 2)(b +r) O E.…

A: To factor t(b+10)+2(b+10)