© Mr. Sims
Multiply using the foil method
or distributive property.
1.
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Algebra 1
Extra #1.4 Review
Foil Method, Distributive
Property, and Factoring
(x + 2)(x + 5)
x(x) + x(5) + 2(x) + 2(5) {used foil method}
x2 + 5x + 2x + 10 {multiplied through}
x2 + 7x + 10 {combined like terms}
2.
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(2x – 5)(x + 6)
2x(x) + 2x(6) – 5(x) – 5(6) {used foil method}
2x2 + 12x – 5x – 30 {multiplied through}
2x2 + 7x – 30 {combined like terms}
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3.
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(4x + y)(2x – 3y)
4x(2x) + 4x(-3y) + y(2x) + y(-3y) {used foil method}
8x2 – 12xy + 2xy – 3y2 {multiplied through}
8x2 – 10xy – 3y2 {combined like terms}
4.
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(-a + 1)(-3a – 2)
-a(-3a) – a(-2) + 1(-3a) + 1(-2) {used foil method}
3a2 + 2a – 3a – 2 {multiplied through}
3a2 – a – 2 {combined like terms}
© Mr. Sims
5.
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(x – 2)(x2 + 2x + 4)
x(x2) + x(2x) + x(4) – 2(x2) – 2(2x) – 2(4) {used distributive property}
x3 + 2x2 + 4x – 2x2 – 4x – 8 {multiplied through}
x3 – 8 {combined like terms}
6.
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(-z + 2)(-2z2 + z – 1)
-z(-2z2) – z(z) – z(-1) + 2(-2z2) + 2(z) + 2(-1)
2z3 – z2 + z – 4z2 + 2z – 2 {multiplied through}
2z3 – 5z2 + 3z – 2 {combined like terms}
{used distributive property}
© Mr. Sims
Factor out the greatest common factor.
7. 10a2 + 40a
= 10a(a + 4)
8. 27a2b + 9b3
= 9b(3a2 + b2)
9. 16y2 + 8y
= 8y(2y + 1)
10. 25a2b2 + 30ab3
= 5ab2(5a + 6b)
© Mr. Sims
Factor each trinomial.
11. x2 – 9x + 14
x -7
x -2
12. x2 + 2x – 15
x+ 5 x - 3
13. z2 – 5z – 24
14. y2 + 5y – 6
z - 8 z+ 3
y+ 6 y - 1
© Mr. Sims
Multiply using the foil method or distributive property.
1.) (z + 7)(z – 4)
2.) (x + y)(x – 2y)
3.) (12r – 4s)(5r + 8s)
4.) (2n – 4)(-3n – 2)
5.) (3x + 5)(2x2 – 5x + 11)
6.) (5x – 2)(-5x2 + 2x + 7)
Algebra 1
Extra #1.4 Review
Assignment
Factor out the greatest common factor.
7.) 15wx – 35wx2
8.) 14mn2 + 2mn
Factor into two binomials.
9.) a2 – 9a – 36
10.) y2 + 2y – 35
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© Mr. Sims