Solve the factorize question

1.	Solve the factorize question
Answer» Question NUMBER 1:- ${p}^{<klux>2</klux>} + 5p + 6$ $= {p}^{2} + 2p + 3p + 6$ $= p(p + 2) + 3(p + 2)$ $= (p + 3)(p + 2)$ Question number 2:- ${x}^{2} + 2x - 15$ $= {x}^{2} + 5x - 3x - 15$ $= x(x + 5) - 3(x + 5)$ $= (x - 3)(x + 5)$ Question number 3:- ${m}^{2} + 3m - <klux>4</klux>$ $= {m}^{2} - m + 4m - 4$ $= m(m - 1) + 4(m - 1)$ $= (m + 4)(m - 1)$ Question number 4:- ${p}^{2} - 10p + 24$ $= {p}^{2} - 4p - 6p + 24$ $= p(p - 4) - 6(p - 4)$ $= (p - 4)(p - 6)$ Question number 5:- ${z}^{2} - z - 2$ $= {z}^{2} - 2z + z - 2$ $= z(z - 2) + 1(z - 2)$ $= (z + 1)(z - 2)$ Question number 6:- ${z}^{2} - 2z - 8$ $= {z}^{2} - 4z + 2z - 8$ $= z(z - 4) + 2(z - 4)$ $= (z + 2)(z - 4)$ Question number 7:- ${x}^{2} - 21x + 110$ $= {x}^{2} - 10x - 11x + 110$ $= x(x - <klux>10</klux>) - 11(x - 10)$ $= (x - 10)(x - 11)$ Question number 8:- ${x}^{2} - 21x + 90$ $= {x}^{2} - 15x - 6x + 90$ $= x(x - 15) - 6(x - 15)$ $= (x - 6)(x - 15)$ Question number 9:- ${x}^{2} - 22x + 117$ $= {x}^{2} - 13x - 9x + 117$ $= x(x - 13) - 9(x - 13)$ $= (x - 9)(x - 13)$ Question number 10:- ${x}^{2} - 9x + 20$ $= {x}^{2} - 4x - 5x + 20$ $= x(x - 4) - 5(x - 5)$ $= (x - 4)(x - 5)$

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