On dividing x4-5x+6 by a polynomial g x
Web19. What is the end behavior of the graph of polynomial function if the leading coefficient is positive and the degree is even? 20. What is the end behavior of the graph of the polynomial function y = -x5 + 3x4 + x³ - 7x² + 4? 21. What is the sketch of the graph of the polynomial function y = x x (x² - 5)? 22. What is the sketch of the graph ... WebQuestion Using remainder theorem, find the value of ‘a’ if the division of x 3+5x 2−ax+6 by (x−1) leaves the remainder 2a. Medium Solution Verified by Toppr Given f(x)=x 3+5x 2−ax+6 Let us assume x−1=0 ⇒x=1 By remainder theorem, when f(x) is divide by (x−1), Remainder r=f(1) ⇒2a=(1) 3+5(1) 2−a(1)+6[∵r=2a( Given)] ⇒2a=1+5−a+6 ⇒2a+a=12 …
On dividing x4-5x+6 by a polynomial g x
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Web03. maj 2024. · Given : On dividing x3 – 6x2 + 11x – 6 by a polynomial g (x), the quotient and the remainder were x2 – 8x + 27 and – 60 respectively To Find : g (x). Solution: a = bq + r x³ - 6x² + 11x - 6 = g (x) ( x² - 8x + 27) + (-60) => x³ - 6x² + 11x + 54 = g (x) ( x² - 8x + 27) => g (x) = (x³ - 6x² + 11x + 54 ) / ( x² - 8x + 27) x + 2 WebQ: Determine the domain of the function. 5x-6 f(x) = 5x+10 The domain is (Type your answer in interval… A: The given function is fx=5x-65x+10. We have to find the domain of the function.
WebIf you have 5^-2, it can be simplified to 1/5^2 or 1/25; therefore, anything to the negative power isn't in its simplest form. Also, not sure if Sal goes over it but you can't have a term being divided by a variable for it to be a polynomial (ie 2/x+2) However, (6x+5x^2)/(x) is a polynomial because once simplified it becomes 6+5x or 5x+6. WebUsing the method of long division of polynomials, let us divide 3x3 + x2 + 2x + 5 by x2 + 2x + 1. Step 1: To obtain the first term of the quotient, divide the highest degree term of the dividend, i.e. 3x3 by the highest degree term of the divisor, i.e. x2. 3x3/x2 = 3x Now, carry out the division process.
WebDivide p (x) by g (x) in the following case and verify division algorithm. p (x) = x^4 - 3x^2 - 4; g (x) = x + 2. Class 10. >> Maths. >> Polynomials. >> Division Algorithm for … Web17. nov 2024. · Answer: 3x − 1 + 2 2x − 1. To check that this result is correct, we multiply as follows: quotient × divisor + remainder = (3x − 1)(2x − 1) + 2 = 6x2 − 3x − 2x + 1 + 2 = …
Weba. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes are √2, 1/3 respectively. b. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder p(x) =x4–5x+6, g(x) = 2–x2 c. verify the relationship between the zeroes and the coefficients if p(x)=x2+7x+10 d.
Web03. avg 2024. · In case of division of a polynomial by another polynomial, the degree of the remainder (polynomial) is always less than that of the divisor. (x – 2) can not be the remainder when p (x) is divided by (2x + 3) as the degree is the same. Question 13. Find a quadratic polynomial whose zeroes are and . (2013) Solution: Question 14. perkins dealer californiaWebOn dividing 3x3+x2+2x+5 by a polynomial g(x), the quotient and remainder are (3x−5) and (9x+10) respectively. Find g(x) Q. Divide the polynomial p (x) by the polynomial g (x) and … perkins dealer locatorWeb09. mar 2024. · Divide the polynomial p (x) by the polynomial g (x) and find the quotient and remainder in each of the following: (i) p (x) = x3 – 3x2 + 5x – 3, g (x) = x2 – 2 (ii) p (x) = x4 – 3x2 + 4x + 5, g (x) = x2 + 1 – x (iii) p (x) = x4– 5x + 6, g (x) = 2 – x2 Solution: i) p (x) = x3 – 3x2 + 5x – 3, g (x) = x2 – 2 R = 7x-9 Q = x-3 perkins diagnostic softwareWeb09. maj 2024. · Divide x^4-5x+6 by 2-x^2 See answers Advertisement Advertisement sheil2 sheil2 I hope it will help you Advertisement Advertisement safkhadri6 safkhadri6 Answer: Step-by-step explanation: Q= -x^2-2. R= -5x+10. Advertisement Advertisement New questions in Math. pls help no spam or i report u perkins decatur il phone numberWeb22. mar 2024. · Ex2.3, 1 Divide the polynomial p (x) by the polynomial g (x) and find the quotient and remainder in each of the following: (i) p (x) = x3 – 3x2 + 5x – 3, g (x) = x2 - … perkins dealership colorado springsWeb07. mar 2024. · On dividing x^4-5x+6 by a polynomial g (x) the quotient and remainder are -x^2-2 and -5x+ 10 respectively .find g (x) Advertisement Answer 10 people found it helpful shubhangidimri7 Answer: hope this helps. ..... Advertisement Answer 3 people found it helpful shreyadange Answer: Step-by-step explanation: Advertisement Still have … perkins distributor locatorWeb08. jul 2024. · Divide p (x)=x4-5x+6 by g (x)=2-x2 See answers Advertisement tardymanchester Answer: Quotient= and Remainder= Step-by-step explanation: Given : and To divide the p (x) by g (x) We know, Dividend = Divisor × quotient + remainder p (x)= Dividend , g (x)=Divisor = quotient + remainder Solve by long division we get, By … perkins dealer in ontario