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Answers
Answer:
- ( x - 3 ) ( x + 15 )
- (- x - 5 ) ( x - 8 )
- ( a + 11 ) ( a - 8 )
- ( a + 3 ) ( a - 17 )
- ( x + 9 ) ( x + 5 )
Step-by-step explanation:
1. x² + 12 x - 45
= x² + 15x - 3x - 45
= x (x+15) - 3 (x+15)
= (x-3) (x+15)
2. 40 + 3x - x²
= - x² + 3x + 40
= - (x² – 3x – 40)
= - ( x²– 8x + 5x – 40)
= - [ x ( x - 8 ) + 5 ( x - 8 ) ]
= - ( x + 5 ) ( x - 8 )
= ( - x - 5 ) ( x - 8 )
3. a^2 + 3a - 88
Solving by Splitting Method:
= a^2 + 3a - 88
= a^2 + 11a - 8a - 88
= a ( a + 11 ) - 8 ( a + 11 )
= ( a + 11 ) ( a - 8 )
4. a^2 - 14a - 51
Solving by Splitting Method:
a^2 - 14a - 51
= a^2 - 17a + 3a - 51
= a ( a - 17 ) + 3 ( a - 17 )
= ( a + 3 ) ( a - 17 )
5. x² + 14x + 45
Solving by Splitting Method:
= x² + 14x + 45
= x² + 9x + 5x + 45
= ( x² + 9x ) + ( 5x + 45)
= x ( x + 9 ) + 5 ( x + 9 )
= ( x + 9 ) ( x + 5 )
Here is your answer:
Answer:
1. (x-3)(x + 15)
2. (- x - 5) (x-8)
3. (a + 11) (a - 8)
4. (a + 3) (a - 17)
5. (x+9)(x+5)
Step-by-step explanation:
1. x² + 12 x - 45
solving by Splitting Method:
= x² + 15x - 3x - 45
= x (x+15) - 3 (x+15)
= (x-3) (x+15)
2. 40 + 3x - x²
solving by Splitting Method:
= x² + 3x + 40
= - ( x²– 3x – 40)
= -(x² - 8x + 5x – 40)
=-[x (x-8) + 5 (x-8)]
= - ( x +5)(x- 8)
= (-x - 5) (x- 8)
3. a^2 + 3a - 88
solving by Splitting Method:
= a^2 + 3a - 88
= a^2 + 11a - 8a - 88
= a (a + 11) - 8 (a + 11)
= ( a + 11) (a - 8)
4. a^2 - 14a - 51
solving by Splitting Method:
a^2 - 14a - 51
= a^2 - 17a + 3a - 51
= a (a - 17) +3 (a - 17)
= (a+3)(a- 17)
5. x² + 14x + 45
solving by Splitting Method:
= x² + 14x + 45
= x² + 9x + 5x + 45
= (x² + 9x ) + (5x + 45)
= x (x + 9) + 5 ( x + 9)
= ( x + 9 ) ( x + 5 )
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