Advertisements
Advertisements
Question
If x – 3 is a factor of p(x), then the remainder is
Options
3
– 3
p(3)
p(–3)
Advertisements
Solution
If x – 3 is a factor of p(x), then the remainder is p(3)
APPEARS IN
RELATED QUESTIONS
Find the values of constants a and b when x – 2 and x + 3 both are the factors of expression x3 + ax2 + bx – 12.
If x – 2 is a factor of x2 + ax + b and a + b = 1, find the values of a and b.
Using the factor Theorem, show that:
2x + 7 is a factor 2x3 + 5x2 − 11x – 14. Hence, factorise the given expression completely.
Use factor theorem to determine whether x + 3 is factor of x 2 + 2x − 3 or not.
Prove that (x+ 1) is a factor of x3 - 6x2 + 5x + 12 and hence factorize it completely.
Prove that (5x - 4) is a factor of the polynomial f(x) = 5x3 - 4x2 - 5x +4. Hence factorize It completely.
Show that (x – 2) is a factor of 3x2 – x – 10 Hence factorise 3x2 – x – 10.
If two polynomials 2x3 + ax2 + 4x – 12 and x3 + x2 – 2x + a leave the same remainder when divided by (x – 3), find the value of a and also find the remainder.
x – 1 is a factor of 8x2 – 7x + m; the value of m is ______.
Factors of 3x3 – 2x2 – 8x are ______.
