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Factor the polynomial 25x2-36y2?
25x2 - 36y2 = ( 5x + 6y ) ( 5x - 6y )
What are the details of remainder theorem?
Remainder Theorem:- When f(x) is divided by (x-a) the remainder is f(a) Tor example:- f(x) x3-2x2+5x+8 divided by x-2 f(2) 8-8+10+8 = 18 So the remainder is 18 if there is no remainder then the divisor is a factor of the dividend.
Factor as a polynomial in decreasing order 3x2 - 5x - 2?
3x2 - 5x - 2 can be factored into (3x + 1) (x - 2)
What value of c makes the polynomial a perfect square x2 5x c?
6.25
Write a polynomial for the perimeter?
The perimeter of a polygon is simply the sum of the lengths of its sides. There is no polynomial that expresses that for all polygons, but the perimeter of a rectangle is P=2(L+H) where P is the perimeter, L is the length, and H is the height.
What is the remainder when 3 is synthetically divide into the polynomial -x2 plus 5x - 9?
-3
What is the remainder when x3 x2 5x 6 is divided by x 2?
To find the remainder when the polynomial ( x^3 + x^2 + 5x + 6 ) is divided by ( x^2 ), we can use polynomial long division or simply evaluate the polynomial at the roots of ( x^2 = 0 ), which are ( x = 0 ) and ( x = 0 ). The remainder will be a polynomial of degree less than 2, in the form ( ax + b ). Substituting ( x = 0 ) into the original polynomial gives ( 6 ) for the constant term, and substituting gives the linear term ( 5 \cdot 0 = 0 ). Thus, the remainder is ( 5x + 6 ).
What is the remainder when the polynomial x4 5x2 10x 12 is divided by x plus 2?
I assume you meant x^4 + 5x^2 +10x + 12. The remainder is 28
What do we use the polynomial remainder theorem for?
If a polynomial is divided by x - c, we can use the Remainder theorem to evaluate the polynomial at c.The Remainder theorem:If the polynomial f(x) is divided by x - c, then the remainder is f(c).Example:Given f(x) = x^3 - 4x^2 + 5x + 3, use the remainder theorem to find f(2).Solution:By the remainder theorem, if f(x) is divided by x - 2, then the remainder is f(2).We can use the synthetic division to divide.2] 1 -4 5 32 -4 2__________1 -2 1 5The remainder is 5, so f(2) = 5Check:f(x) = x^3 - 4x^2 + 5x + 3f(2) = (2)^3 - 4(2)^2 + 5(2) + 3 = 8 - 16 + 10 + 3 = 5
When a certain polynomial is divided by x - 3 its quotient is xsquared - 5x - 6 and its remainder is 5 What is the polynomial?
From the Division Algorithm for Polynomials theorem,f(x) = q(x)g(x) + r(x) or we say:dividend = (quotient)(divisor) + (remainder)In our case,quotient = x^2 - 5x - 6; divisor = x - 3; and remainder = 5.Substitute what you know into the formula, and you will have:f(x) = (x^2 - 5x - 6)(x - 3) + 5f(x) = x^3 - 5x^2 - 6x - 3x^2 + 15x + 18 + 5f(x) = x^3 - 5x^2 - 3x^2 - 6x + 15x + 18 + 5f(x) = x^3 - 8x^2 + 9x + 23 (this is the required polynomial)
When dividing the polynomial x3 4x2 5x 2 by x 2 the remainder is 0 making x 2 a factor?
Yes, if there is no remainder after division, the divisor is a factor.
What is the quotient of the polynomial 4x exponent four minus x cubed plus 17x squared plus 11x plus 4 when divided by the expression 4x plus 3?
x3-x2+5x-1 with remainder 7, which the final answer would be written as:x3-x2+5x-1+[7/(4x+3)]
What type of polynomial is 7x2 - 5x plus 2?
It is a quadratic polynomial.
What is the standard form of the polynomial -5x plus 9X81?
-5x + 729
Factor the polynomial 25x2-36y2?
25x2 - 36y2 = ( 5x + 6y ) ( 5x - 6y )
What are polynomial representations?
x.x-5x+6
Factor the polynomial x2 plus 5x - 24 Write each factor as a polynomial in descending order?
2x+5x-24 7x2-24
