2. (a) Use polynomial long division to determine the quotient when 3x3 5210x 4 is divided...
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 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?
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)( +
Please use + x instead of -
x!!
The quotient when 2x4 + 3x3 – – + 1 is divided by x + 3 is O 2.23 - 3x2 + 9.2 - 26 2.23 3.2 + 8.0 O 2.c - 3.0 + 8 23 - 22 +2
A polynomial Px) and advisor obx) are given Use long division to find the quotient Qpx) and the remainder REX) when PIX) is divided by dix), and express P(x) in the form d x) (x) POS=X. 54 dX) EX-2 ON -21072 - 2x + 4)+72 O X-2302 - 2x 4) - 56 OC -230 +234 OD -232 2x+4)*72
Divide using long division. State the quotient, q(x), and the remainder, r x). (9x3+12x +6x-27) (3x-3) (x3 + 12x2+6x-27)+ (3x-3) (Simplify your answers. Do not factor. Use integers or fractions for any numbers in the expressions.)
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 +...
Find the quotient and remainder when the first polynomial is divided by the second. x3 + 8x + 9x + 3,x+ 2
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