Answer:
x = -16 or x = 6
Step-by-step explanation:
To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.
x² + 10x - 96 = 0
We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.
(x + 16)(x - 6) = 0
If a product of two factors equals zero, then one factor or the other or both must equal zero.
x + 16 = 0 or x - 6 = 0
x = -16 or x = 6
Answer:
7 + 4
Step-by-step explanation:
note that
×
= a
Given
(2 +
)² = (2 +
)(2 +
)
Each term in the second factor is multiplied by each term in the first factor, that is
2(2 +
) +
(2 +
) ← distribute both parenthesis
= 4 + 2
+ 2
+ 3 ← collect like terms
= 7 + 4