<u>Answer:</u>
If x-2 is a factor of p(x) = x^{4} - 3 x^{2} + 2 x - 8 ,then p(x) = 0
<u>Solution:</u>
According to factor theorem of polynomials,
x-a is a factor of polynomial p(x), if and only p(a)=0
<u>Step 1:</u>
Since x-2 is factor of p(x),
x - 2 = 0
x = 2
<u>Step 2:</u>
By substituting x = 2 in equation 1,
p(x) = 16 - 3(4 ) + 4 -8
p(x) = 16 - 12 - 4
p(x) = 16 - 16
p(x) = 0
Since x - 2 is a factor of p(x) , we get p(x)=0
Answer:
x= 10/3
Step-by-step explanation:
1/250 : 2 = 1/150 : x
it's a simple problem of ratio and proportion
1/250 : 2 = 1/150 : x
⇒
⇒
x= 10/3
Answer:
m = , b = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Given
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide all terms by - 3 )
y = x - 2 ← in slope- intercept form
with slope m = and y- intercept b = - 2
