
Find the quotient and remainder when the first polynomial is divided by the second. x3 +...
Use ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second. -4w3 5w2-7, w -3 The quotient is
Find the quotient Q(x) and remainder
R(x) when the polynomial P(x)
is divided by the polynomial D(x).
P(x) =
4x5 + 9x4
− 5x3 +
x2 + x −
25; D(x)
= x4 + x3
− 4x − 5
Q(x) =
R(x) =
Use the Factor Theorem to show that x − c is a
factor of P(x) for the given values of
c.
P(x) =
2x4 −
13x3 −
3x2 + 117x − 135;
c = −3, c = 3...
When a certain polynomial is divided by x+2, the quotient is x² - 4x + 1 and the remainder is 8. What is the polynomial? 3. When a certain polynomial is divided by X-3, the quotient is x2 + 2x-5 and the remainder is -3. What is the polynomial?
If the polynomial x3 + x2 – 2 is divided by x + 1, the remainder is 0. True O False
Use long division to find the quotient and the remainder **+ 3x3.7x2 + 8x + 18 1) x2 + 2x +2 Use synthetic division to find the quotient and the remainder. 2) x3 – 3x4 - 12x + 12,2 - 13x + 18 X-5 Use synthetic division and the Remainder Theorem to find the function value. 3) f(x) = 2x3 - 7x2 - 8x + 14; find f(4) Use long division to find the quotient and the remainder ++3x3 -...
Find the quotient and remainder when 16x + 40x’ - 270 is divided by 4r +1 Quotient = Remainder =
Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and express P(x) in the form d(x) • Q(x) + R(x). P(x) = x3 + 5x? - 17x+172 d(x) = x + 9 P(x) = (x+9)( +
2. (a) Use polynomial long division to determine the quotient when 3x3 5210x 4 is divided by 3x 1 (b) Show, by polynomial long division that x3-3x2 + 12x _ 5 = ( x2 - x + 10)+ 15 r2 r-2
Find the quotient and the remainder. Check your work by verifying that (Quotient (Divisor) + Remainder - Dividend. x? +a' divided by X+a The quotient is and the remainder is
Answer ALL questions. (20 marks) 1. Find the quotient and remainder by using long division. (6x + 4x* + 3) + (1 + 2x) 2. Given that P(x) = ax2 + 5x - 1 and Q(x) = bx + 4. If P(x). Q(x) = 3x2 + 17x2 + 19x - 4, find the values of a and b. 3. The function H(x) = x3 + ax? – bx + 5 gives a remainder of 11 when divided by x +...