Factor by splitting middle term:
(i) x2 - 11x - 42
(ii) x2 - 12x - 45
(iii) x2 - 7x - 30
(iv) x2 - 5x - 24
(v) 3x2 + 10x + 8
(vi) 3x2 + 14x + 8
(vii) 2x2 + x - 45
(viii) 6x2 + 11x - 10
(ix) 3x2 - 10x + 8
(x) 2x2 - 17x - 30
Answers
Answer:
1 x= 7,6
2 x= 15,-3
3 x= 10,-3
4 x= 8,-3
5 x= -2,-4/3
6 x= -4,-2/3
7 x= -5,9/2
8 x= -5/2,2/3
9 x= 2,4/3
10 x= 10,-3/2
Answer:
(i)x²-11x-42
x²-14x+3x-42
(x²-14x)+(3x-42)
x(x-14)+3(x-14)
(x-14)(x+3)
(ii)x²-12x-45
x²-15x+3x-45
(x²-15x)+(3x-45)
x(x-15)+3(x-15)
(x-15)(x+3)
(iii)x²-7x-30
x²-10x+3x-30
(x²-10x)+(3x-30)
x(x-10)+3(x-10)
(x-10)(x+3)
(iv)x²-5x-24
x²-8x+3x-24
(x²-8x)+(3x-24)
x(x-8)+3(x-8)
(x-8)(x+3)
(v)3x²+10x+8
3x²+6x+4x+8
(3x²+6x)+(4x+8)
3x(x+2)+4(x+2)
(x+2)(3x+4)
(vi)3x²+14x+8
3x²+12x+2x+8
(3x²+12x)+(2x+8)
3x(x+4)+2(x+4)
(x+4)(3x+2)
(vii)2x²+x-45
2x²+10x-9x-45
(2x²+10x)-(9x-45)
2x(x+5)-9(x+5)
(x+5)(2x-9)
(viii)6x²+11x-10
6x²+15x-4x-10
(6x²+15x)-(4x-10)
3x(2x+5)-2(2x+5)
(2x+5)(3x-2)
(ix)3x²-10x+8
3x²-6x-4x+8
(3x²-6x)-(4x+8)
3x(x-2)-4(x-2)
(x-2)(3x-4)
(x)2x²-17x-30
2x²-20x+3x-30
(2x²-20x)+(3x-30)
2x(x-10)+3(x-10)
(x-10)(2x+3)