Question

Unit 7 polynomials and factoring homework 7 factoring trinomials answer key

Answer 1

1. x² + 5x + 6 factors are (x + 2)(x + 3)

2. m² + 18m + 56 factors are (m + 14)(m + 4)

3. y² + 9y + 8 factors are (y +8)(y + 1)

4. y² - 6y +8 factors are (y - 4)(y - 2)

5. n² - n + 90 factors are (n -
`(1- √(-359) )/(2)` )(n +
`(1- √(-359) )/(2)`)

6.
`x^2` + 3x - 70 factors are (x + 10)(y - 7)

7. m² + 5m - 6 factors are (m + 6)(y - 1)

8.
`x^2` - 10x - 39 factors are (x + 13)(y - 3)

9.
`x^2` - 14x - 51 factors are (x - 17)(y +6)

To get the factors we will use the formula

`(-b +- √(b^2-4ac) )/(2a)`

a , b and c value we find by comparing the given equation with
`ax^2 +bx + c`

Here's the answer key for Unit 7 Polynomials and Factoring Homework 7 Factoring Trinomials:

1. x² + 5x + 6

x =
`(-5 +- √(5^2-4(1)(6)) )/(2(1))`

x =
`(-5 +- √(25-24) )/(2)`

x =
`(-5 +- √(1) )/(2)`

x =
`(-5 +- 1 )/(2)`

x = -3, -2

Factors: (x + 2)(x + 3)

2. m² + 18m + 56

m =
`(-18 +- √(18^2-4(56)) )/(2(1))`

m =
`(-18 +- 10)/(2)`

m = -14, -4

Factors: (m + 14)(m + 4)

3. y² + 9y + 8

y =
`(-9+- √(9^2-4(8)) )/(2(1))`

y =
`(-9+- 7)/(2)`

y = - 8, -1

Factors: (y +8)(y + 1)

4. y² - 6y +8

y =
`(6+- √(6^2-4(8)) )/(2(1))`

y =
`(6+- 2 )/(2)`

y = 4, 2

Factors: (y - 4)(y - 2)

5. n² - n +90

n =
`(1+- √(1^2-4(90)) )/(2(1))`

n =
`(1+- √(-359) )/(2)`

n =
`(1- √(-359) )/(2)` ,
`(1+ √(-359) )/(2)`

Factors: (n -
`(1- √(-359) )/(2)` )(n +
`(1- √(-359) )/(2)`)

6.
`x^2` + 3x - 70

x =
`(-3+- √(3^2-4(70)) )/(2(1))`

x =
`(-3+- √(3^2-280) )/(2)`

x =
`(-3+-17)/(2)`

x = -10, 7

Factors: (x + 10)(y - 7)

7. m² + 5m - 6

m =
`(-5+- √(5^2-4(-6)) )/(2(1))`

m =
`(-5+- 7 )/(2)`

m = -6, 1

Factors: (m + 6)(y - 1)

8.
`x^2` - 10x - 39

x =
`(10+- √(10^2-4(-39)) )/(2(1))`

x =
`(10+- 16 )/(2)`

x= - 13, 3

Factors: (x + 13)(y - 3)

9.
`x^2` - 14x - 51

x =
`(14+- √(14^2-4(-51)) )/(2(1))`

x =
`(14+- 20)/(2)`

x = 17, -6

Factors: (x - 17)(y +6)

Question:-

1.
`x^2` + 5x + 6

2. m² + 18m + 56

3. y² + 9y + 8

4. y² - 6y +8

5. n² - n +90

6.
`x^2` + 3x - 70

7. m²+5m-6

8.
`x^2` - 10x - 39

9.
`x^2` - 14x - 51