Answer:
4(5x - 4)
Step-by-step explanation:
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
![x^3-13x-12\text{ is divisible by } x^2-x-12](https://tex.z-dn.net/?f=x%5E3-13x-12%5Ctext%7B%20is%20divisible%20by%20%7D%20x%5E2-x-12)
We can factor the divisor:
![x^2-x-12=(x-4)(x+3)](https://tex.z-dn.net/?f=x%5E2-x-12%3D%28x-4%29%28x%2B3%29)
According to the Factor Theorem, if we have a polynomial P(x) divided by a binomial in the form of (<em>x</em> - <em>a</em>) and if P(a) = 0, then the binomial is a factor of P(x).
Our two binomial factors our (<em>x</em> - 4) and (<em>x</em> + 3). Thus, <em>a</em> = 4 and <em>a</em> = -3.
Evaluate the polynomial for both of these factors:
![P(4)=(4)^3-13(4)-12=0](https://tex.z-dn.net/?f=P%284%29%3D%284%29%5E3-13%284%29-12%3D0)
And:
![P(-3)=(-3)^3-13(-3)-12=0](https://tex.z-dn.net/?f=P%28-3%29%3D%28-3%29%5E3-13%28-3%29-12%3D0)
Since both yielded zero, the original polynomial is divisible by both (<em>x</em> - 4) and (<em>x</em> + 3) or <em>x</em>² - <em>x</em> - 12. Hence:
![x^3-13x-12\text{ is indeed divisible by } x^2-x-12](https://tex.z-dn.net/?f=x%5E3-13x-12%5Ctext%7B%20is%20indeed%20divisible%20by%20%7D%20x%5E2-x-12)
Ya what the person above me said
Answer:
1143
Step-by-step explanation:
Given : Area of the parallelogram is 220 square yard
We know that :
⊕ Area of a parallelogram is given by : Base x Height
⇒ Base x Height = 220
Given : Height of the parallelogram = 11 yards
⇒ Base x 11 = 220
⇒ Base = 20 yards
⇒ Missing Length = 20 yards