7.1 Greatest common factor and factor by grouping  (Page 2/5)

8, 18

24, 40

72, 162

150, 275

10 a , 50

5 b , 30

$3x,10x^2$

$21b^2,14b$

$8w^2,24w^3$

$30x^2,18x^3$

$10p^{3}q,12p{q}^2$

$8a^2{b}^3,10a{b}^2$

$12m^2{n}^3,30m^5{n}^3$

$28x^2{y}^4,42x^4{y}^4$

$10a^3,12a^2,14a$

$20y^3,28y^2,40y$

$35x^3,10x^4,5x^5$

$27p^2,45p^3,9p^4$

$4x+20$

$8y+16$

$6m+9$

$14p+35$

$9q+9$

$7r+7$

$8m-8$

$4n-4$

$9n-63$

$45b-18$

$3x^2+6x-9$

$4y^2+8y-4$

$8p^2+4p+2$

$10q^2+14q+20$

$8y^3+16y^2$

$12x^3-10x$

$5x^3-15x^2+20x$

$8m^2-40m+16$

$12x{y}^2+18x^2{y}^2-30y^3$

$21p{q}^2+35p^2{q}^2-28q^3$

$\mathrm{-2}x-4$

$\mathrm{-3}b+12$

$5x\left(x+1\right)+3\left(x+1\right)$

$2x\left(x-1\right)+9\left(x-1\right)$

$3b\left(b-2\right)-13\left(b-2\right)$

$6m\left(m-5\right)-7\left(m-5\right)$

$xy+2y+3x+6$

$mn+4n+6m+24$

$uv-9u+2v-18$

$pq-10p+8q-80$

$b^2+5b-4b-20$

$m^2+6m-12m-72$

$p^2+4p-9p-36$

$x^2+5x-3x-15$

$\mathrm{-20}x-10$

$5x^3-x^2+x$

$3x^3-7x^2+6x-14$

$x^3+x^2-x-1$

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

$5x^3-3x^2-5x-3$

Area of a rectangle The area of a rectangle with length 6 less than the width is given by the expression $w^2-6w$ , where $w=$ width. Factor the greatest common factor from the polynomial.

Height of a baseball The height of a baseball t seconds after it is hit is given by the expression $\mathrm{-16}{t}^2+80t+4$ . Factor the greatest common factor from the polynomial.

The greatest common factor of 36 and 60 is 12. Explain what this means.

What is the GCF of $y^4,y^5,\text{and}{y}^{10}$ ? Write a general rule that tells you how to find the GCF of $y^a,y^b,\text{and}{y}^c$ .