Part one: Factor the following questions: 1 Factorise each of the following expressions fully (a) x²-x-2 (e) x²-4x-60 (b) x²+3x+2 (f) x²+12x+32 (c) x²+7x+10 (g) x²-16x+64 (i) x²+22x+57 (j) x²-6x+8 (k) x²-10x-24 (d) x²-14x+48 (h) x²-11x-12 (1) x²+8x-48 2 Factorise each of the following expressions fully (a) 3x²+11x+6 (b) 5x²-18x-8 (c) 5x²-9x+4 (d) 3x²+x-4 (e) 5x+12x-9 (f) 4x²+15x-4 (g) 4x²+9x+2 (i) 4x²-11x-3 (j) 3x²-4x-4 (k) 5x²+13x-6 (h) 4x2 13x-12 (1) 2x²+7x-4 3 Factorise each of the following expressions fully (a) x²-1 (b) x²-16 (c) x²-100 (d) x²-169 (e) 4x²-4 (f) 9-x² (g) 16x²-9 (h) x²y-4y (i) 9x²-100 (j) 256-x4 (k) 16x4-1 (1) (x-1)x²-4(x-1) 4 Factor by grouping. 1) x²+5x+2x+10 2) x²+3x+4x+12 3) x²-5x-2x+10 4) x23x-4x+12 5) x²+9x+4x+36 6) x²+x+36x + 36 7) x29x-4x+36 8) x2 x36x+36 9) y² + 10y+ 3y+30 10) y²+6y+5y + 30 - 11) y² 10y3y+ 30 12) y²-6y-5y + 30

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: Which is a factor of x +x-42? (1) (x+7) (2) (x-7) (3) (x+6) (4) (x-42) |

A:

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: Factorize the following completely axª(x − 2) + 16a(2 − x)

A: To factorize the given expression

Q: True or false: The factorization of 12x + 21x² is 3x? · 4x2 + 3x² · 7.

A: Given polynomial is: 12x4+21x2 We have to factorize this polynomial.

Q: Given the special multiplication rules: a? – 2ab + b? a? a? + 2ab + b? = ( a -b)2 = ( a –b )(a + b)…

A: The given expression is  5(2 - x)2 + 3(2 - x)3 To find greatest common factor GCF

Q: Factor the follawing (b-1) (8²-85) to [abe+ 8b] a. b.. (x²+ 2x) (3x+3) (xtl) (3xt4) ex-6) (xt7)…

A:

Q: (x3-2x2-8x-5) (x+ 1) (X3-2x2-8x-5)+(x+1)= +; x1 Simplify your answers. Do not factor.)

A: Simplify the given expression by long division method.

Q: Factor each expression completely.

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

Q: Which of the following is the correct factorization of 6x2 + x - 12? I $(3 x+4)(2 x+3)$ II  $(3…

A: The given expression is 6x2+x-12

Q: The Coefficient of x in the expression 4x3-2x + 3x -9 (A) 4 (B) -2 (C) 3 (D) -9

A: The given expression is 4x3-2x2+3x-9 we have to find coefficient of x.

Q: Factor the polynomial 8x² 2(4x - 5)² x(8x - 10) 2x(4x - 5) 3x(10x² - 2) 8x(x - 10) 10x completely

A: We need to factorize the polynomial.

Q: (c) 8x +30x+28 (d) 90x-90x +20x

A: We will factorise the given expressions first by taking the common term out and then splitting the…

Q: What is the value of n to show that (x - 7) is a factor of 2x3 - 13x2 - 10x + n?

A: Given- 2x3-13x2-10x+n To find-  The value of n as x-7 is a factor of the above expression. Concept…

Q: How would you factor x2(2x+3)5(x-4)2  to find the zeros and multiplicity?

A: The given expression is,

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

A: Topic:- factorisation

Q: 3. Factor, if possible, using integer coefficients - (A) 2x² + 11x − 6 (B) 4x² + 11x - 6 (C) 6x² +…

A: We can solve this as follows:

Q: What is the completely factored form of x4 + 8x2_ 9?

A:

Q: The "middle" term of the trinomial form of (2r – 3)(4x + 1) is: O a 10x -10x 14x -14x Next Page Back

A:

Q: (a) Express the product shown below in standard (b) Write the following in factored form as the…

A: Given   (x+8)(x-8)

Q: Find the factors of the polynomial: 25b² – 144a?

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Q: 5x45 loxt5x19

A: A monomial is an expression with only one term including in it.

Q: Example 3: Sketch your OWN. Punnett square. (notes) The product of (−4x + 3) (7x − 5x −9) sketchpad…

A: