Advertisements
Advertisements
प्रश्न
Prove by factor theorem that
(2x+1) is a factor of 4x3 + 12x2 + 7x +1
Advertisements
उत्तर
(2x+1) is a factor of 4x3 + 12x2 + 7x +1
2x + 1 ⇒ x = `1/2`
Substituting this value, we get
`"f" (-1/2) = 4 xx (-1/2) xx (-1/2) xx (-1/2) + 12 xx (-1/2) xx (-1/2) xx (-1/2) + 7 xx (-1/2) + 1 = 0`
Hence (2x+ 1) 1s a factor of 4x3 + 12x2 + 7x + 1
APPEARS IN
संबंधित प्रश्न
Find the value of ‘k’ if (x – 2) is a factor of x3 + 2x2 – kx + 10. Hence determine whether (x + 5) is also a factor.
If 2x + 1 is a factor of 2x2 + ax – 3, find the value of a.
Using the Factor Theorem, show that (3x + 2) is a factor of 3x3 + 2x2 – 3x – 2. Hence, factorise the expression 3x3 + 2x2 – 3x – 2 completely.
Prove by factor theorem that
(x - 3) is a factor of 5x2 - 21 x +18
Use the factor theorem to factorise completely x3 + x2 - 4x - 4.
If x – 2 is a factor of 2x3 - x2 - px - 2.
with the value of p, factorize the above expression completely.
Show that (x – 2) is a factor of 3x2 – x – 10 Hence factorise 3x2 – x – 10.
Determine whether (x – 1) is a factor of the following polynomials:
x3 + 5x2 – 10x + 4
Check if (x + 2) and (x – 4) are the sides of a rectangle whose area is x2 – 2x – 8 by using factor theorem
Factors of 4 + 4x – x2 – x3 are ______.
