02/01 Classwork- Algebra

02/01 Classwork- Algebra

Factor  trinomial

when  $a\ \ne1$  

 $2x^2+15x\ +7$  

When Factoring

the product of ac = 14

The factors of 14

1 , 14 and 2, 7

 $for\ 2x^{2\ }+15\ x\ +7$  

Choose 1, and 14 to rewrite because 1 +14 will be 15. And the factors MUST add up to the B term. 

Multiple Choice

For

 $2x^{2\ }+15x\ +7$ , we will rewrite with 1x and 14x to factor by grouping

•  $2x^{2\ }+1x\ +14x\ +7$  

•  $2x^2+\ 1\ +\ 14\ +7$  

Multiple Select

 $for\ 2x^{2\ }+15x\ +7$  after grouping it will be 

•  $x\left(x+2\right)+7\left(x+2\right)$  

• (X+2) 

Multiple Select

 $2x^{2\ }+15x\ +7\ will\ be$  

• (x+2) (x+2)

• (2x+7)(x+2)

• (x+7) (2x+1)

Special Product

(Looking for perfect square)

Perfect square

the First and Last term MUST be perfect square.

Multiple Choice

(10x+12y)²

• 100x²+120xy+144y²
• 100x²+240xy+144y²
• 20x²+120xy+24y²
• 20x²+120xy+144y²

Multiple Choice

(2u-4v)²

• 4u²-8uv+16v²
• 4u²-16uv+16v²
• 4u²-16v²
• 4u²+8uv+16v²

Multiple Choice

(7r-6)(7r+6)

• 49r²+36

• 49r²-36

• 49r²+84r+36

• 49r²+42r+36

Multiple Choice

Find the Product: (4x² – 9y²) (4x² – 9y²)

• 16x⁴ + 72x²y² + 81y⁴

• 16x⁴ + 72x²y² - 81y⁴

• 16x⁴ – 72x²y² + 81y⁴

• 16x⁴ – 81y⁴

• 16x⁴ + 81y⁴

Multiple Choice

Find the product: (3y + 7)²

• 9y² + 49

• 9y² - 42y + 49

• 9y² + 42y - 49

• 9y² - 49

• 9y² + 42y + 49

Multiple Choice

Find the product of (j + 7)(j – 7)

• j² + 49

• j² – 49

• j² – 28j + 49

• j² + 28j - 49