A. Long division
Multiply x-4 by x^2 to get x^3-4x^2. Subtract product
(x^3-7x-6) - (x^3-4x^2) = 4x^2-7x-6
Now multiply x-4 by 4x to get 4x^2-16x. Subtract product
(4x^2-7x-6) - (4x^2-16x) = 9x-6
Now multiply x-4 by 9 to get 9x-36. Subtract product
(9x-6) - (9x-36) = 30
Remainder = (x^3-7x-6)/(x-4) = 30
B. using the Polynomial Remainder Theorem
which says that if a polynomial f(y) is divided by a linear expression (x-a), the remainder equals f(a).
Here f(x)=x^3-7x-6, and (x-a)=(x-4)), i.e. a=4
according to the Polynomial Remainder Theorem,
Remainder = f(4) = (4)^3-7(4)-6 = 64-28-6 = 30 (as before)
Answer:
OK SO THE OTHER THING DOES NOT LET US TEXT SOOO HERES THE OTHER ONE
Step-by-step explanation:
Hello :
<span>A compound inequality to represent all of the numbers between -4 and 6 is :
- 4 </span>< x <span>< 6
</span>x <span>> - 4 and </span>x < 6
Answer:
Step-by-step explanation:
help
X + 9 = 2 ( x - 1 )²
x + 9 = 2 ( x² - 2 x + 1 )
x + 9 = 2 x² - 4 x + 2
- 2 x² + 4 x + x - 2 + 9 = 0
- 2 x² + 5 x + 7 = 0 / * ( -1 )
Answer:
A ) 2 x² - 5 x - 7