6.7 Factoring trinomials with leading coefficient other than 1  (Page 3/3)

Factor $48x^2+22x-15$ .

Factor $54y^2+39yw-28w^2$ .

Factor $6x^2+7x-3$ .

Factor $14x^2-31x-10$ .

Factor $48x^2+22x-15$ .

Factor $10x^2-23xw+12w^2$ .

$x^2+3x+2$

$x^2+7x+12$

$2x^2+7x+5$

$3x^2+4x+1$

$2x^2+11x+12$

$10x^2+33x+20$

$3x^2-x-4$

$3x^2+x-4$

$4x^2+8x-21$

$2a^2-a-3$

$9a^2-7a+2$

$16a^2+16a+3$

$16y^2-26y+3$

$3y^2+14y-5$

$10x^2+29x+10$

$14y^2+29y-15$

$81a^2+19a+2$

$24x^2+34x+5$

$24x^2-34x+5$

$24x^2-26x-5$

$24x^2+26x-5$

$6a^2+13a+6$

$6x^2+5xy+y^2$

$6a^2-ay-y^2$

$5r^2-24r-5$ .

It takes 5 hours to paddle a boat 12 miles downstream and then back. The current flows at the rate of 1 mile per hour. At what rate was the boat paddled?

$x^2+5x-84$ .

The length of a rectangle is 5 inches more than the width of the rectangle. If the area of the rectangle is 84 square inches, what are the length and width of the rectangle?

$x^2+24x-145$ .

A square measures 12 inches on each side. Another square is to be drawn around this square in such a way that the total area is 289 square inches. What is the distance from the edge of the smaller square to the edge of the larger square? (The two squares have the same center.)

$x^2+8x-20$ .

A woman wishes to construct a rectangular box that is open at the top. She wishes it to be 4 inches high and have a rectangular base whose length is three times the width. The material used for the base costs $2 per square inch, and the material used for the sides costs $1.50 per square inch. The woman will spend exactly $120 for materials. Find the dimension of the box (length of the base, width of the base, and height).

$16x^2-8xy-3y^2$

$6a^2+7ab+2b^2$

$12a^2+7ab+12b^2$

$9x^2+18xy+8y^2$

$8a^2+10ab-6b^2$

$12a^2+54a-90$

$12b^4+30b^{2}a+12a^2$

$30a^4{b}^4-3a^2{b}^2-6c^2$

$3a^6-3a^3{b}^2-18b^4$

$20a^2{b}^2+2ab{c}^2-6a^2{c}^4$

$14a^2{z}^2-40a^3{z}^2-46a^4{z}^2$

( [link] ) Simplify ${(a^3{b}^6)}^4$ .

( [link] ) Find the product. $x^2(x-3)(x+4)$ .

( [link] ) Find the product. ${(5m-3n)}^2$ .

( [link] ) Solve the equation $5(2x-1)-4(x+7)=0$ .

( [link] ) Factor $x^5-8x^4+7x^3$ .