帶系數(shù)的因式分解練習(xí)題

帶系數(shù)的因式分解練習(xí)題一、單項(xiàng)式乘單項(xiàng)式1.\(3a\times4a\)2.\(2b\times5b\)3.\(4x\times(3x)\)4.\(5m\times6n\)5.\(7p\times8q\)二、單項(xiàng)式乘多項(xiàng)式1.\(3x\times(x+2y)\)2.\(4a\times(a3b)\)3.\(5m\times(2mn)\)4.\(6p\times(p+q+r)\)5.\(7x\times(3x^24x+1)\)三、多項(xiàng)式乘多項(xiàng)式1.\((x+2y)\times(x3y)\)2.\((a4b)\times(a+5b)\)3.\((3m+n)\times(2mn)\)4.\((p+2q3r)\times(p2q+3r)\)5.\((2x+3y4)\times(xy+2)\)四、平方差公式1.\(9a^216b^2\)2.\(25x^249y^2\)3.\(4m^2n^2\)4.\(p^225q^2\)5.\(36x^225\)五、完全平方公式1.\(4a^2+12ab+9b^2\)2.\(9x^224xy+16y^2\)3.\(25m^230mn+9n^2\)4.\(p^2+10pq+25q^2\)5.\(49x^2+98xy+49y^2\)六、提取公因式1.\(6a^2+9a\)2.\(8x^312x^2\)3.\(15m^2n20mn^2\)4.\(21p^2q+35pq^2\)5.\(10x^4y15x^3y^2+20x^2y^3\)七、十字相乘法1.\(x^2+5x+6\)2.\(a^27a+12\)3.\(m^2+4mn5n^2\)4.\(p^26pq+9q^2\)5.\(x^210xy+25y^2\)八、分組分解法1.\(x^3+2x^2+3x+6\)2.\(a^3a^26a+6\)3.\(m^33m^2n+2mn6n^2\)4.\(p^3+3p^2q4pq12q^2\)5.\(x^4x^34x^2+4x\)九、綜合運(yùn)用1.\(2x^2+5x3\)2.\(3a^27a+2\)3.\(4m^2+12mn5n^2\)4.\(5p^210pq+3q^2\)5.\(x^32x^25x+10\)十、特殊因式分解1.\(x^416\)2.\(a^6b^6\)3.\(m^3+n^3\)4.\(p^4+4q^4\)5.\(x^532x\)十一、高次多項(xiàng)式因式分解1.\(x^5x^42x^3+2x^2\)2.\(a^4+4a^3b+6a^2b^2+4ab^3+b^4\)3.\(m^6n^6\)4.\(p^3+3p^2q+3pq^2+q^3\)5.\(x^44x^3y+6x^2y^24xy^3+y^4\)十二、實(shí)際應(yīng)用題1.一個(gè)長(zhǎng)方形的面積是\(8x^218x+9\)平方單位，已知長(zhǎng)比寬多2個(gè)單位，求長(zhǎng)和寬的表達(dá)式。2.一輛汽車行駛的距離\(s\)與時(shí)間\(t\)的關(guān)系為\(s=2t^23t+1\)，求汽車在\(t=2\)時(shí)的行駛距離。3.一個(gè)二次函數(shù)的圖像開口向上，頂點(diǎn)坐標(biāo)為\((1,4)\)，且經(jīng)過點(diǎn)\((2,0)\)，求該二次函數(shù)的表達(dá)式。4.一個(gè)立方體的體積是\(64x^3512x\)，求該立方體的邊長(zhǎng)表達(dá)式。5.一個(gè)數(shù)的平方與這個(gè)數(shù)的3倍之和是\(4x^2+12x+9\)，求這個(gè)數(shù)。答案一、單項(xiàng)式乘單項(xiàng)式1.\(12a^2\)2.\(10b^2\)3.\(12x^2\)4.\(30mn\)5.\(56pq\)二、單項(xiàng)式乘多項(xiàng)式1.\(3x^2+6xy\)2.\(4a^2+12ab\)3.\(10m^2+5mn\)4.\(6p^212pq18pr\)5.\(21x^328x^2+7x\)三、多項(xiàng)式乘多項(xiàng)式1.\(x^23xy+2y^2\)2.\(a^2+ab12b^2\)3.\(6m^2mn3n^2\)4.\(p^24pq+9q^26pr+12qr9r^2\)5.\(2x^2+5xy6y^2+4x10y+8\)四、平方差公式1.\((3a+4b)(3a4b)\)2.\((5x+7y)(5x7y)\)3.\((2m+n)(2mn)\)4.\((p+5q)(p5q)\)5.\((6x+5)(6x5)\)五、完全平方公式1.\((2a+3b)^2\)2.\((3x4y)^2\)3.\((5mn)^2\)4.\((p+5q)^2\)5.\((7x+5y)^2\)六、提取公因式1.\(3a(a+3)\)2.\(4x^2(x3)\)3.\(5mn(3m4n)\)4.\(7pq(3p+5q)\)5.\(5x^2y(x^23xy+4y^2)\)七、十字相乘法1.\((x+2)(x+3)\)2.\((a3)(a4)\)3.\((m+5n)(mn)\)4.\((p3q)(p2q)\)5.\((x5y)(xy)\)八、分組分解法1.\((x+3)(x+2)\)2.\((a2)(a3)\)3.\((mn)(m+5n)\)4.\((p3q)(p+4q)\)5.\(x^2(x1)(x+4)\)九、綜合運(yùn)用1.\((2x1)(x+3)\)2.\((3a1)(a2)\)3.\((2m+n)(2m5n)\)4.\((5p2q)(p3q)\)5.\((x2)(x^25)\)十、特殊因式分解1.\((x^2+4)(x+2)(x2)\)2.\((a^3+b^3)(a^3b^3)\)3.\((m+n)(m^2mn+n^2)\)4.\((p^2+2q^2)(p^22q^2)\)5.\(x(x^22)(x