提取公因式法练习题

2019-05-13试题

  1.多项式8x3y2-12xy3z的公因式是_________.

  2.多项式-6ab2+18a2b2-12a3b2c的公因式是()

  A.-6ab2cB.-ab2C.-6ab2D.-6a3b2c

  3.下列用提公因式法因式分解正确的是()

  A.12abc-9a2b2=3abc(4-3ab)B.3x2y-3xy+6y=3y(x2-x+2y)

  C.-a2+ab-ac=-a(a-b+c)D.x2y+5xy-y=y(x2+5x)

  4.下列多项式应提取公因式5a2b的是()

  A.15a2b-20a2b2B.30a2b3-15ab4-10a3b2

  C.10a2b-20a2b3+50a4bD.5a2b4-10a3b3+15a4b2

  5.下列因式分解不正确的是()

  A.-2ab2+4a2b=2ab(-b+2a)B.3m(a-b)-9n(b-a)=3(a-b)(m+3n)

  C.-5ab+15a2bx+25ab3y=-5ab(-3ax-5b2y);D.3ay2-6ay-3a=3a(y2-2y-1)

  6.填空题:

  (1)ma+mb+mc=m(________);(2)多项式32p2q3-8pq4m的公因式是_________;

  (3)3a2-6ab+a=_________(3a-6b+1);(4)因式分解:km+kn=_________;

  (5)-15a2+5a=________(3a-1);(6)计算:21×3.14-31×3.14=_________.

  7.用提取公因式法分解因式:

  (1)8ab2-16a3b3;(2)-15xy-5x2;

  (3)a3b3+a2b2-ab;(4)-3a3m-6a2m+12am.

  8.因式分解:-(a-b)mn-a+b.

  提高训练

  9.多项式m(n-2)-m2(2-n)因式分解等于()

  A.(n-2)(m+m2)B.(n-2)(m-m2)

  C.m(n-2)(m+1)D.m(n-2)(m-1)

  10.将多项式a(x-y)+2by-2bx分解因式,正确的结果是()

  A.(x-y)(-a+2b)B.(x-y)(a+2b)

  C.(x-y)(a-2b)D.-(x-y)(a+2b)

  11.把下列各式分解因式:

  (1)(a+b)-(a+b)2;(2)x(x-y)+y(y-x);

  (3)6(m+n)2-2(m+n);(4)m(m-n)2-n(n-m)2;

  (5)6p(p+q)-4q(q+p).

  应用拓展

  12.多项式-2an-1-4an+1的公因式是M,则M等于()

  A.2an-1B.-2anC.-2an-1D.-2an+1

  13.用简便方法计算:39×37-13×34=_______.

  14.因式分解:x(6m-nx)-nx2.

  参考答案

  1.4xy22.C3.C4.A5.C

  6.(1)a+b+c(2)8pq3(3)a(4)k(m+n)

  (5)-5a(6)-31.4

  7.(1)8ab2(1-2a2b)(2)-5x(3y+x)

  (3)ab(a2b2+ab-1)(4)-3am(a2+2a-4)

  8.-(a-b)(mn+1)

  9.C

  10.C

  11.(1)(a+b)(1-a-b)(2)(x-y)2(3)2(m+n)(3m+3n-1)

  (4)(m-n)3(5)2(p+q)(3p-2q)

  12.C13.39014.2x(3m-nx)

上一篇:苏州昆山县治水法的练习题下一篇:嗟来之食的练习题