Respuesta :

Answer:

x = - 7, x = 5

Step-by-step explanation:

To find the zeros, let f(x) = 0 , that is

x² + 2x - 35 = 0 ← in standard form

(x + 7)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 5 = 0 ⇒ x = 5

[tex]\huge{ \mathfrak{  \underline{ Answer  } \: ✓ }}[/tex]

  • [tex] {x}^{2} +2 x - 35[/tex]

  • [tex] {x}^{2} + 7x - 5x - 35[/tex]

  • [tex]x(x + 7) - 5(x + 7)[/tex]

  • [tex](x + 7)(x - 5)[/tex]

> Equating with zero

Case - 1

  • x + 7 = 0
  • x = -7

Case - 2

  • x - 5 = 0
  • x = 5

The required Zeroes are :

[tex] \huge\boxed{5 \: \: \: and -7}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

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