When a certain polynomial is divided by x+2, the quotient is x² - 4x + 1...
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...
Find the quotient and remainder when the first polynomial is divided by the second. x3 + 8x + 9x + 3,x+ 2
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
If the polynomial x3 + x2 – 2 is divided by x + 1, the remainder is 0. True O False
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
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
I need help with these questions. 1. Answer the questions below. (a) For the polynomial P(x) = 3.r* - 2x2 + 2x – 4, identify the following. i. (2 points) The degree of P ii. (2 points) The constant term of P iii. (2 points) The leading coefficient of P iv. (4 points) The possible rational zeros of P (b) (5 points) Find the quotient and remainder of when Q(x) = * - 223 +22 - 3 is divided by...
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 +...
the divisor is the quotient is and the remainder is x-2x + 5x2 - 2x+1 2. In the division EX.2 2x-5 , the dividend is x² - 2x+3 2-23 The dividend is the divisor is the quotient is and the remainder is
Find the quotient and remainder when 16x + 40x’ - 270 is divided by 4r +1 Quotient = Remainder =