Question

2x^2 + 16x +30 -factorize​

Answer 1

Step-by-step explanation:

2x² + 16x + 30

Method 1 :-

Using Quadratic formula :-

• x = -b ± √b² - 4ac/2a

here,

a = 2

b = 16

c = 30

Then,

x = -(16) ± √(16)² - 4×2×30/2(2)

» -16 ± √256 - 240/4

» -16 ± √16/4

» -16 ± 4/4

Zeroes are -

x = -16 + 4/4

» -12/4

• » -3

And

x = -16 - 4/4

» -20/4

• » -5

Method 2 :-

By middle term splitt :-

2x² + 16x + 30

» 2x² + 10x + 6x + 30

» 2x(x + 5) + 6(x + 5)

» (2x + 6)(x + 5)

Zeroes are -

2x + 6 = 0 and x + 5 = 0

x = -6/2 and x = -5

• x = -3 and x = -5

Answer 2

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