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Q: What is the remainder when 3 is synthetically divided into the polynomial -x2 5x - 9?
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What is the remainder when 3 is synthetically divide into the polynomial -x2 plus 5x - 9?

-3


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 type of polynomial is 7x2 - 5x plus 2?

It is a quadratic polynomial.


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 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


What number can be divided by 5 with a remainder of 2?

7,12,17,22,27 etc. in generalize form it is 5x+2, where x=1,2,3,4,.....