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

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter7: Factoring
Section7.4: Factor Special Products
Problem 275E: Why was it important to practice using the binomial squares pattern in the chapter on multiplying...
Question
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
Transcribed Image Text: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
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