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FactorizeI. Common monomials1. 4p³-10p⁵ Common factor: 2p³ (4p³-10p⁵)/2p³ = 2-5p²= (2p³)(2-5p²)2. 28a³b⁴-35a²b⁵-14a⁴b³common factor: 7a²b³(28a³b⁴-35a²b⁵-14a⁴b³)/7a²b³ = 4ab-5b²-2a²= (7a²b³)(4ab-5b²-2a²)3. -36x⁵y³z⁷+24x⁴y⁶z⁵-60x⁷y⁵z⁸common factor: 6x⁴y³z⁵(-36x⁵y³z⁷+24x⁴y⁶z⁵-60x⁷y⁵z⁸)/(6x⁴y³z⁵) = -6xz² +4y³-10x³y²z³= (6x⁴y³z⁵)(-6xz² +4y³-10x³y²z³)II. Factoring1.) x²+8x+15 (5)(3)=155+3= 8= (x+5)(x+3)2.) x²+7x-18(9)(-2)= -189-2= 7= (x+9)(x-2)3.) x²-10x+16(-8)(-2)=16-8-2= -10= (x-8)(x-2)4.) 2x²+11x+5x²+11x+10(10)(1)=1010+1=11(x+10/2)(x+1/2)= (x+5)(2x+1)5.) 5x²-12x+4x²-12x+20(-10)(-2)=20-10-2=-12(x-10/5)(x-2/5)= (x-2)(5x-2)6.) 4x²-16x-9x²-16x-36(-18)(2)= -36-18+2= -16(x-18/4)(x+2/4)(x-9/2)(x+1/2)= (2x-9)(2x+1)III. Dividing Polynomials1. (x²+7x-18)/(x²-10x+16)(x+9)(x-2)/(x-8)(x-2)= x+9/x-82. (x²+8x+15)/(2x²+11x+5)(x²+8x+15)/(x²+11x+10)(x+5)(x+3)/(x+10/2)(x+1/2)(x+5)(x+3)/(x+5)(2x+1)= x+3/2x+13. (5x²-12x+4)/(x²+7x-18)(x²-12x+20)/(x²+7x-18)(x-10/5)(x-2/5)/(x+9)(x-2)(x-2)(5x-2)/(x+9)(x-2)= 5x-2/x+94. (x²+8x+15)/(2x²+11x+5)(x+5)(x+3)/(x²+11x+10)(x+5)(x+3)/(x+10/2)(x+1/2)(x+5)(x+3)/(x+5)(2x+1)= x+3/2x+15. (4x²-16x-9)/(2x²+11x+5)(x²-16x-36)/(x²-11x+10)(x-18/4)(x+2/4)/(x+10/2)(x+1/2)(x-9/2)(x+1/2)/(x+5)(x+1/2)(2x-9)(2x+1)/(x+5)(2x+1)= 2x-9/x+5

Answered by ARMYL | 2025-07-19