If x-k is the hcf of 2x2-kx-9
Web13 jun. 2024 · If the H.C.F is (x-3), then there exist some other factor x-a that will give us x 2 -kx-1. Therefore (x-3) (x-a)=x2-kx-1, x2-3x-ax+3a=x2-kx-1, x2- (a+3)x+3a=x2-kx-1. This means a+3=k, and 3a=-1, so a=-1/3, then k=8/3 . This is the result I came to. Upvote • 0 Downvote Add comment Report Andy C. answered • 06/13/18 Tutor 4.9 (27) …
If x-k is the hcf of 2x2-kx-9
Did you know?
WebHCF of any two positive integers a and b. With a > b is obtained as follows: ... (x + k) is a factor of the polynomial x2 2x 15 and x3 + a. Find k and a. 22. ... For what value of k the equation 2x2 + kx + 3 = 0 has equal roots? 18. For what value of p, ... WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
WebIf α, β are the roots of the equation x2 + kx + 12 = 0 such that α − β = 1, the value of k is 0 ± 5 ± 1 ± 7 Correct Option: D As per the given above question , we know that Let, α, β be the roots of the equation x 2 + kx + 12 = 0 ∴ α + β = −k and αβ = 12 Now ( α - β ) 2 = ( α + β ) 2 - 4αβ ( 1 ) 2 = k 2 - 4 (12) ⇒ k 2 = 49 ⇒ k = ± 7. Web1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. Ans. (i) 4x 2 – 3x + 7. ⇒ 4x2 – 3x + 7x°. ∵ All the exponents of x are whole numbers. ∴ 4x 2 – 3x + 7 is a polynomial in one variable. (ii) ∵ All the exponents of y are whole numbers.
Web30 mrt. 2024 · If the sum of the zeroes of the quadratic polynomial 3x 2 – kx + 6 is 3, then find the value of k. Get live Maths 1-on-1 Classs - Class 6 to 12 Book 30 minute class for ₹ 499 ₹ 299 WebCo.i Geometryi Geometry, AnalyticgAThe text (in facsimile) and translation on opposite pages ,F `€ íì¾ô â é « ê Ó@”@ž@¢A¬B¢K KºLæÌ ÉÍ Î Ï UÉ Ë Ê .The geometry of Renâe Descartes
Web18 okt. 2024 · 2 Answers. Sorted by: 1. Your description of your work makes it sound like you're on the right track. Let f ( x) = x 3 − 3 x 2 + k x + 15. If 5 x − 2 is a factor of f ( x), then by the remainder theorem, we have f ( 2 5) = 0. Thus, f ( x) = x 3 − 3 x 2 + k x + 15 f ( 2 5) = 0 = ( 2 5) 3 − 3 ( 2 5) 2 + k ( 2 5) + 15 0 ⋅ 125 = ( 8 125 ...
Web12 mrt. 2015 · If the square difference of the quadratic polynomial is the zeroes of p(x)=x^2+3x +k is 3 then find the value of k; Find all the zeroes of the polynomial 2xcube + xsquare - 6x - 3 if 2 of its zeroes are -√3 and √3. IF one of the zeros of quadratic polynomial is f(x)=14x²-42k²x-9 is negative of the other, find the value of k. external cd drive for laptop gameWeb19 jul. 2024 · CBSE Class 10-Question paper of maths 2024 with solutions. (i)All questions are compulsory. (ii) The question paper consists of 34 questions divided into four sections A, B, C and D. Section A comprises of 10 questions of 1 mark each, Section B comprises of8 questions of 2 marks each, Section C comprises of 10 questions of 3 marks each and ... external cd drive for laptop argosWebIf the H.C.F. of (x2+x−12)and (2x2−kx−9)is (x−k), then what is the value of k? A −3 B 3 C −4 D 4 Answer Correct option is B 3 x=kmust satisfy both expressions x2+x−12and … external cd drive for laptop jb hi fiWebEx. 15. If the HCF of (x2 + x – 12) and (2x2 – kx – 9) is (x – k), then what is the value of k ? (CDS 2008) Sol. Since (x – k) is the HCF of (x2 + x + 12) and (2x2 – kx – 9) (x – k) will be a factor of 2x2 – kx – 9 \ 2.k2 – k.k – 9 = 0 ⇒ k2 – 9 = 0 ⇒ k = ± 3 Also, the factors of (x2 + x – 12) = (x + 4) (x – 3 ... external cd drive for laptop price in indiaWeb7 dec. 2024 · selected Dec 10, 2024 by Harithik. Best answer. Since (x – k) is the HCF of (x2 + x + 12) and (2x2 – kx – 9) (x – k) will be a factor of 2x2 – kx – 9. ∴ 2.k2 – k.k – 9 = … external cd drive for windows 10 pcWebamount angle answer type questions base Calculate called centre circle closed coefficient common factor Concept Application conditional Consider denominator denoted determined divided division Draw elements equal Evaluate Example factor false Figure find the value formula fraction frequency function given graph height Hence inequation ... external cd drive for netbookWebRD Sharma Solutions for Class 10 Maths Chapter 8 Quadratic Equations Exercise 86 Download PDF. A quadratic equation can have at most two roots. But whether a quadratic equation can have 1, 2 or even no roots is decided by finding the nature of roots. RD Sharma Solutions Class 10 Exercise 8.6 contain problems based on the nature of roots. external cd drive for this computer