例如,若声称( (x + 2) )是( x^2 + x - 2 )的因式,只需验证( f(-2) = (-2)^2 + (-2) - 2 = 0 ),确认无误后可继续分解为( (x + 2)(x - 1) )。 简化多项式运算 在多项式除法中,若已知某因式,可利用因子定理直接分解,避免冗长运算。例如,已知( x = 2...
Answer to: Factor the following expression completely: x^2 - 4x - 21 By signing up, you'll get thousands of step-by-step solutions to your homework...
百度试题 结果1 题目Factor: (x2+4x+2)2+3(x2+4x+2)+2=相关知识点: 试题来源: 解析 (x+1)(x+2)2(x+3) Set x2+4x+2=t, t2+3t+2=(t+1)(t+2)=(x2+4x+3)(x2+4x+4)=(x+1)(x+2)2(x+3).反馈 收藏
Factor completely: x^2 + 2x + 3xy + 6y Factor 4x^2 + 12x + 40. Factor 21x^2 - 16x - 16. Factor: 2x^2 - 7x + 5 Factor 4(u^4)(v^2) + 4(u^2)v + 1. Factor out 2x^4 + 3x^3 - 11x^2 - 9x + 15. Factor: (x + 8)^2 - 49 Factor completely. 81z^4 - 1....
Ifwe just do a quick glance we might be tempted to just say the greatest common factor is just X sincethere is clearly an x in both terms.However, notice that we can factor a 2 out of the 4- 12x in the second term to get,x2(2-6.x)+4x(4-12x)=x2 (2-6.x)+8:x(2-6...
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Factor( -1) out of ( -3/4x^2+9x-34). ( -(x^23/4-9x+34)) Combine( x^2) and ( 3/4). ( -((x^2⋅ 3)/4-9x+34))Move ( 3) to the left of ( x^2). ( -((3⋅ x^2)/4-9x+34)) Multiply( 3) by ( x^2). ( -((3x^2)/4-9x+34)) ...
Factor x^2 + 12x + 20. Factor: 6y(5y - 6) - 5(5y - 6)^2 Factor completely: 8a^3 - 50a Factor: ( x 5 32 ) Factor: 2x^{2} - 11x - 21 Factor: x^2 - 9. Factor: 4x^3 - 32 Factor: 3x^3 + 9x^2 - 3x - 9. Factor 4x^2 - x. Factor completely. 125y^3 - 8x...
4x(2x+1)(x-4) E. 2x(2 ×2+7x-4) 相关知识点: 试题来源: 解析 C4. C. First, factor out any common factors from each of the three terms, , and . Notice that the greatest common factor (GCF) of the coefficients is 2 , and each term is divisible by . Therefore, factor out...