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]
