Advertisements
Advertisements
प्रश्न
Show that x – 2 is a factor of 5x2 + 15x – 50.
उत्तर
(x – a) is a factor of a polynomial f(x) if the remainder, when f(x) is divided by (x – a), is 0, i.e., if f(a) = 0.
f(x) = 5x2 + 15x – 50
f(2) = 5(2)2 + 15(2) – 50
= 20 + 30 – 50
= 0
Hence, x – 2 is a factor of 5x2 + 15x – 50
APPEARS IN
संबंधित प्रश्न
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.
(3x + 5) is a factor of the polynomial (a – 1)x3 + (a + 1)x2 – (2a + 1)x – 15. Find the value of ‘a’, factorise the given polynomial completely.
Find the value of k, if 2x + 1 is a factor of (3k + 2)x3 + (k − 1)
Using the factor Theorem, show that:
2x + 7 is a factor 2x3 + 5x2 − 11x – 14. Hence, factorise the given expression completely.
Prove by factor theorem that
(2x+1) is a factor of 4x3 + 12x2 + 7x +1
Find the value of m ·when x3 + 3x2 -m x +4 is exactly divisible by (x-2)
If ax3 + 3x2 + bx – 3 has a factor (2x + 3) and leaves remainder – 3 when divided by (x + 2), find the values of a and b. With these values of a and b, factorise the given expression.
x – 1 is a factor of 8x2 – 7x + m; the value of m is ______.
Which of the following is a factor of (x – 2)2 – (x2 – 4)?
Factors of 3x3 – 2x2 – 8x are ______.
