Multiplying Polynomials

Multiplying Binomials

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EQ: How do you work with polynomials to rewrite expressions and solve problems?

LT: I can multiply two binomials

Area Method

Multiple Choice

Write the area of rectangle as a product of two binomials.

• $A=\left(-10x\right)\left(12x\right)$

• $A=\left(3x+4\right)\left(2x-5\right)$

• $A=\left(3x\cdot2x\right)\left(4\cdot-5\right)$

• $A=6x-20$

• $A=5x-1$

Multiple Choice

Write the area of the rectangle in expanded form.

• $A=6x^2-60$

• $A=7x+7$

• $A=-72x^2$

• $A=6x^2-18x-60$

• None of the above

Multiple Choice

• Step 1, Should add like terms to get the inside values.

• Step 1, combining 2x and 3x should equal 5x.

• Step 2, should multiply all of the values. $A=\ \left(6x^2\right)\cdot\left(-15x\right)\cdot\left(8x\right)\cdot\left(-20\right)$

• Step 3, Combined like terms incorrectly.

• No errors were made.

Distribution Method

Multiple Choice

• Step 1, cannot distribute an expression with more than one term.

• Step 2, cannot use commutative property with multiplication.

• Step 3, distributed incorrectly.

• Step 4, did not combine like terms correctly.

• Ana got the correct answer.

Multiple Choice

Expand the expression:

 $(2n+1)(n-7)$  

• $2n^2+15n\ +\ 7$

• $2n^2-15n\ +\ 7$

• $2n^2-7$

• $2n^2-13n\ -7$

•  $3n-6$  

Multiple Choice

Expand the expression: 

 $(7v-2)(6v+5)$  

• $42v^2\ -47v\ +\ 10$

• $42v^2+23v-10$

• $42v^2-10$

• $42v^2+47v\ +\ 10$

•  $13v+3$  

FOIL Method

Multiple Choice

Expand the Expression:

 $(2s+9)(3s-4)$  

•  $6s^2+35s-36$  

•  $6s^2-36$  

•  $5s\ +5$  

•  $6s^2+19s-36$  

•  $10s$  

Multiple Choice

Expand the expression:

 $(2x-1)(x+2)$  

•  $2x^2+3x-2$  

•  $2x^2-5x-2$  

•  $2x^2+3x+2$  

•  $2x^2-5x+2$  

•  $2x^2-2$  

Multiplying Binomials:

Special Cases

Multiple Choice

Expand the expression:

 $(x+12)(x-12)$  

•  $x^2-144$  

•  $x^2$  

•  $x^2+24x-144$  

•  $x^2-24x+144$  

•  $2x$  

Multiple Choice

Expand the expression:

 $(x−5)^2$  

•  $x^2+10x+25$  

•  $x^2−25$  

•  $x^2−10x+25$  

•  $x^2+25$  

•  $2x-10$  

Multiple Choice

Expand the expression:

 $(2x−y)^2$  

•  $4x^2−4xy+y^2$  

•  $4x^2+y^2$  

•  $4x^2−y^2$  

•  $4x^2+4xy+y^2$  

•  $4x-2y$