Question

I need help with all of these please help

Answer 1

Explanation:

1 ) b^2 + 8b + 7 = 0

breaking the middle term

=> b^2 + 7b+ b + 7 = 0

=> b ( b+ 7) + 1 (b+7)=0

=> (b+1)(b+7)=0

(b + 1 ) = 0 , (b+7) = 0

b = -1 . b= -7 Answer

2) b^2 + 16b + 64

breaking the middle term

=> b^2+ 8b + 8b +64 =0

=> b ( b + 8 ) + 8 (b + 8) =0

=> (b + 8 )(b+8) =0

=> b = -8 , b= -8

3) 2p^2 + 2p -4

breaking the middle term

=> 2p^2 +4p-2p-4

=> 2p (p +2) - 2(p+4)

=> (2p-2)(p+2)=0

=> 2p-2 =0 , => p+2 = 0

=> p = 1 , p= -2

4) n^2 + 4n - 12

breaking the middle term

=> n^2 + 6n-2n-12=0

=> n(n+6)-2(n+6)=0

=>(n-2)(n+6)=0

=> n-2=0 , n+6=0

n=2 , n= -6

5) a^2 + 11a + 18

breaking the middle term

=> a^2 + 9a + 2a +18 =0

=> a( a +9) + 2 ( a +9 ) = 0

=> ( a + 2 ) ( a + 9) =0

=> a = -2 , a = -9

6) 5v^2 - 30v + 40

breaking the middle term

=> 5v^2 - 30v + 40

=> 5 v^2 - 20v - 10v + 40

=> 5 v (v - 4) - 10 ( v -4 )

= > ( v - 4 ) ( 5v - 10)

=> v - 4 = 0 , 5v-10 =0

v = 4 , v =(10/5)

v=4 , v =2

Answer 2

7. B^2+8B+7 —> ( B+1 )( B+7 )

8. N^2+4N-12 —> (N+6)(N-2)

10. B^2+16B+64 —> (B+8)(B+8)

11. A^2+11A+18 —> (A+2)(A+9)

13. 2P^2+2P-4 —> 2(P+2)(P-1)

14. 5V^2-30V+40 —> 5(V-2)(V-4)