Advertisements
Advertisements
Question
Prove by factor theorem that
(x - 3) is a factor of 5x2 - 21 x +18
Advertisements
Solution
x - 3 = 0 ⇒ x = 3
Substituting this value , we get
f(3) = 5(3)2 - 21(3) + 18
= 45 - 63 + 18
= 0
APPEARS IN
RELATED QUESTIONS
Find the values of m and n so that x – 1 and x + 2 both are factors of x3 + (3m + 1)x2 + nx – 18.
Using the Factor Theorem, show that (x – 2) is a factor of x3 – 2x2 – 9x + 18. Hence, factorise the expression x3 – 2x2 – 9x + 18 completely.
If x + a is a common factor of expressions f(x) = x2 + px + q and g(x) = x2 + mx + n; show that : `a = (n - q)/(m - p)`
Find the value of k, if 2x + 1 is a factor of (3k + 2)x3 + (k − 1).
Prove by factor theorem that
(x-2) is a factor of 2x3- 7x -2
Find the value of a , if (x - a) is a factor of x3 - a2x + x + 2.
If (x - 2) is a factor of the expression 2x3 + ax2 + bx - 14 and when the expression is divided by (x - 3), it leaves a remainder 52, find the values of a and b.
In the following problems use the factor theorem to find if g(x) is a factor of p(x):
p(x) = x3 + x2 + 3x + 175 and g(x) = x + 5.
If x – 2 is a factor of 2x3 - x2 - px - 2.
with the value of p, factorize the above expression completely.
Which of the following is a factor of (x – 2)2 – (x2 – 4)?
