Show that x2− 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

Q: Show that xଶ − 4 is a factor of x4− 5x3 + 2x2 + 20x − 24.

A: Let f(x) and g(x) be two functions  then g(x) will be the factor of f(x) if remainder(f(x) / g(x))…

Q: Show that x2 − 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

A:

Q: FIND THE DOMAIN OF 1. ffx)= X²+5x+6 X² 5x+6

A:

Q: Show that x² − 4 is a factor of x4 − 5x³+ 2x² + 20x − 24

A:

Q: 8) Is (x+3) a factor of x4 + 2x2 + 17x – 48 Drop coefficients onto top line

A: Given,  x4+2x2+17x-48

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

A: Given that  If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

Q: Is (x + 3) a factor of 2x4 + 3x³ – 5x² + 2x – 6?

A:

Q: Prove that there exists at least one solution to the equation 4x+ 3x +1 = 4x2.

A:

Q: The product of 2x3 + 3x² + 1 and 2x2 + 4 in z3 [x]/ is: None 4x+1 5x^2+ 5x +1 x^2+2

A:

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

A:

Q: 9) Is x-2 a factor of x3 – 13x + 12?

A:

Q: Why is x-3 a factor of m(x) x^3-x^2-5x-3

A: It is  polynomial equation.

Q: The value of r for which x2 - rx - 2 and x3 + x2 - x - 1 have a common factor is?

A: Given two equations x2-rx-2=0 and x3+x2-x-1=0

Q: Show that x2 − 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

A:

Q: Prove that (x+2) is a factor of 3x'+8x+x-6 and find the other factor.

A: we have to find factor of the polinomial

Q: One factor of f(x) = x^3 –8x^2 – 15x+54 is x - 2. What are the zeros of f(x)?

A: Solution of the equation

Q: Find the coefficient of x11 in (x2 - 3x) / (1 - x )4

A: Solution:

Q: Show that x2 − 4  is a factor of  x4− 5x3+ 2x2 + 20x − 24.

A:

Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

A:

Q: Gives that f(x) 5x^3-54x^2+170x-104. And that 5+i is a zero, factor f(x) completely.

A: If 5+i is a zero then (5-i) is also a zero.

Q: If (2x +3) is a factor of 4x + ax2 +2x +3, find the value of a. सनं म

A: a=?

Q: If 3x = 4y 3x2 is equal to: 4y2 If 3x – 4y, then

A: It is given that 3x=4y. We have to find out the value of the fraction 3x24y2. We have  to use the…

Q: Find the linear factors of 2x²-y-x + xy + 2y - 1.

A:

Q: Is 5 a root of x* 5x' + 8x– 40? Is (x + 1) a factor of x- 1?

A:

Q: 10) If x = 1 is a zero, what are the other zeros for x3 - 3x2 + x + 1 = 0 ?

A:

Q: The product of 2x³ + 3x² +1 and 2x² + 4 in z5[x]/ is: None 5x^2+ 5x +1 x^2+2 4x+1

A: Group of integers modulo 5 Z5=0, 1, 2, 3, 4 Now  Z5x denotes the ring of polynomials with…

Q: (d) Show that x^2 − 4 is a factor of x^4 − 5x^3 + 2x^2 + 20x − 24.

A:

Q: Examine whether x+ 2 is a factor of x3+3x2+5x+6 and of 2x+4

A:

Q: Is x+3 a factor of -x^3+3x-18. Yes or no.

A:

Q: Given that (3x2+4x)/(2x+9) = 45 Find x

A:

Q: (d) Show that x² – 4 is a factor of x* – 5x³ + 2x? + 20x – 24.

A:

Q: Determine the non-permissible value(s) for 3x+2x² x² - 6x

A:

Q: 1(d) Show that x − 4 is a factor of x − 5x + 2x + 20x − 24

A:

Q: 2. Determine whether x + 1 is a factor of x27 + 4x20 – 3x15 – 6. -

A: We have to solve

Q: Solve this strictly by Factor Theorem.  3x3 + 7x2 + 2x - 4

A: use the definition of factor theorem .

Q: Show that for r=1x1 XER³, > A( 7 ) = 0 we have when 1x1=1 #0

A: Laplacian operator

Q: Is (x+3) a factor of 2x2 + 7x + 3

A:

Q: The product of x* + x3 + 2x? and 2x² + 4x + 6 in z, [x]/ is:

A:

Q: x2 - 4 is a factor of x4 - 5x3 + 2x2 + 20x - 24

A:

Q: Show that x^2 + 1/x^2 is greater than or equal to 2.

A: A.M  is greater than or equal to G.M

Q: State the discriminant of 6x2-2x+K

A: Quadratic equaton is  6x2-2x+K=0

Q: Find the value of x for which (8x+4) , (6x-2) and (2x+7) are in AP

A:

Q: Show that x2 − 4 is a factor of x4− 5x3 + 2x2 + 20x − 24

A:

Q: Find a,b,c (if possible) so that 2x^3-9x^2+8x-2=(2x-1)(ax^2+bx+c)

A: The given equation is,

Q: What

A:

Q: Find the product . ( solve all) 3x(x-2)(x2+5) (x+20)(2x+30) (3y-1)(9y2+3y+1) (x+3y)(2x-6y)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 1. Show that x + 4 is a factor of x* – x3 + 3x² – 3x + 356. -

A:

Q: show that x2-4 is a factor of x4-5x3+2x2+20x-24

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.