Answer:
Step-by-step explanation:
4x + 3y = -1 --------------(i)
3x - 9y = 33 -------------(ii)
multiply equation (i) by 3
(i)* 3 12x + 9y = -3
(ii) <u> 3x - 9y = 33</u>
add, 15x = 30
x = 30/15
x = 2
Put x =2 in Equation (i)
4*2 + 3y = -1
8 +3y = -1
3y = -1-8
3y = -9
y = -9/3
y= -3
Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.
According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)
=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.
Answer:
Step-by-step explanation:
