Answer:
A
Step-by-step explanation:
Given
-4x²(5 - 3x² + x - 2)
Multiply each term in the parenthesis by - 4x²
= - 20 + 12
- 4x³ + 8x²
Which linear equation is represented by the table? x -2 1 3 6 y 7 4 2 -1
1 answer:
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The one way to determine factors of x³ + 11x² – 3x – 33 will be .
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
We will find the final solution as .
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be .
To learn more about the factorization refer to the link;
Hey there :)
We know the area formula of a triangle
We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9
Apply the formula
56 =
× ( p ) × ( p - 9 )
56 = × ( p² - 9p )
Divide on both sides
56 ÷ = p² - 9p
112 = p² - 9p
Bring 112 to the other side and equate equation to 0
p² - 9p - 112
Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative
So, the length of the base is 16 m
Check:
56 m² = × 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²
We know the area formula of a triangle
We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9
Apply the formula
56 =
56 =
Divide
56 ÷
112 = p² - 9p
Bring 112 to the other side and equate equation to 0
p² - 9p - 112
Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative
So, the length of the base is 16 m
Check:
56 m² =
56 m² = 8 × 7
56 m² = 56 m²