Question

Factor 4x^2+29x+30=0

Answer 1

Explanation:

4x^2 × 30 = 120x^2

120x^2 = 24x x 5x

(4x^2) + (24x) + (5x) +30 =0

4x(x+6) + 5(x+6) =0

(4x +5) + (x+6) =0

4x + 5 = 0 , x+6=0

XE = ( -5/4, -6)

Answer 2

= − 5 /4

= − 6

Explanation:

Use the sum-product pattern

4 ^2 + 2 9 + 3 0 = 0

4x^2+29x+30=0

4x2+29x+30=0

4 ^2 + 2 4 + 5 + 3 0 = 0

Rewrite in factored form

4 ( + 6 ) + 5 ( + 6 ) = 0

4x(x+6)+5(x+6)=0

4x(x+6)+5(x+6)=0

(4 + 5 ) ( + 6 ) = 0

Solution:

= − 5 /4

= − 6