Respuesta :

X= 3/2 and -7/4
Factored is: (2x-3)(4x+7) you can find zeros by setting each of them to zero

Answer:

[tex]x=\frac{3}{2}[/tex] and [tex]x=-\frac{7}{4}[/tex]

Step-by-step explanation:

Since, the zeroes are the input values in which the value of a function is zero,

Here, the given function,

[tex]f(x)=8x^2+2x-21[/tex]

For zeroes,

f(x) = 0

[tex]\implies 8x^2 + 2x - 21 =0[/tex]

By middle term splitting,

[tex]8x^2 + 14x - 12x - 21=0[/tex]

[tex]2x(4x+7) - 3(4x+7)=0[/tex]

[tex](2x-3)(4x+7)=0[/tex]

By zero product property,

2x - 3 = 0 or 4x + 7 = 0

⇒ x = 3/2 or x = -7/4

Hence, the zeroes of the given equation are [tex]x=\frac{3}{2}[/tex] and [tex]x=-\frac{7}{4}[/tex]

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