Homework Soursem2 10m 11 x2 6x 5 n2 12n 36 y2 5y 24 3x2 19x 6Solut
m^2 + 10m -11 x^2 + 6x + 5 n^2 - 12n + 36 y^2 - 5y - 24 3x^2 + 19x + 6
Solution
1. m2 + 10m - 11 = m2 + 11m - 1m - 11 = m(m+11) - 1(m+11) = (m+11) (m-1)
2. x2 + 6x+5 = x2 + 5x+x + 5 = x(x+5) + 1(x+5) = (x+5) (x+1)
3. n2 - 12n + 36 = n2 - 6n -6n + 36 = n(n-6) 6(n-6) = (n-6)2
4. y2 -5y - 24 = y2 - 8y + 3y - 24 = y(y-8) + 3(y-8) = (y-8) ( y+3)
5. 3x2 + 19x+6 = 3x2 + 18x +x + 6 = 3x(x+6) + 1(x+6) = (x+6) ( 3x+1)
6. 2x2 - 11x + 5 = 2x2 - 10x -x + 5 = 2x(x-5) - 1(x-5) = (x-5) (2x-1)
7. 6x2 + 7x+2 = 6x2 + 3x+4x+2 = 3x(2x+1) + 2(2x+1) = (2x+1) (3x+2)
8.2a2 - 15a +7 =2a2 -14a- a +7 = 2a(a-7) -1(a-7) = (a-7) (2a-1)
9.x2 -36 = (x+6) (x-6)
12. 16z2 +16z+4 = 16z2 + 8z+8z +4 = 8z(2z+1) + 4(2z+1) = (2z+1)(8z+4))
