Can the quadratic polynomial x2+kx+k
WebChoose the correct answer from the given four options: The number of polynomials having zeroes as –2 and 5 is. (A) 1. (B) 2. (C) 3. (D) more than 3. Answer: Quadratic polynomial having zeroes α and β is given by k[x2 - (α + β)x + αβ]. So, the quadratic polynomial having zeroes −2 and 5 is given by. WebWrite your answers from least to greatest, separates by commas. x^(2)+kx-19. ANALYZE Find all values of k so that the polynomial can be factored using integers. Write your answers from least to greatest, separates by commas. x^(2)+kx-19 ... if α, β are the roots of a quadratic polynomial then polynomial will be x 2 ...
Can the quadratic polynomial x2+kx+k
Did you know?
WebAug 24, 2024 · Given equation is x2 + kx + k = 0. a = 1, b = k, x = k. Substituting in the equation we get, k2 – 4 ( 1 ) ( k ) = 0. k2 – 4k = 0. k ( k – 4 ) = 0. k = 0 , k = 4. But in the … WebThe zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0, (A) cannot both be positive (B) cannot both be negative (C) are always unequal (D) are always equal 9. If the zeroes of …
WebNov 2, 2024 · The zeroes of the quadratic polynomial x + kx + k, k ≠ 0,, (A) cannot both be positive, (B) cannot both be negative, (C) are always unequal, (D) are always equal, 2, 9. ... what is the relation between the degrees of p (x), and g (x)?, (v), Can the quadratic polynomial x2 + kx + k have equal zeroes for some, odd integer k > 1?, Are the ... WebGiven, the quadratic polynomial is x² + kx + k. We have to find whether the zeros of the polynomial are equal for some odd integer k > 1. Assuming the zeros of the polynomial …
WebIf one of the zeroes of the quadratic polynomial (k - 1)x 2 + kx + 1 is -3, then the value of k is a) 4/3 b) -4/3 c) 2/3 d) -2/3 Correct answer is option 'A'. Can you explain this answer? Answers Vp Classes p (x) = (k - 1)x 2 + kx +1 One zero of polynomial is - 3 i.e. p (-3) = 0 ⇒ (k - 1) (-3) 2 + k (-3) + 1 = 0 ⇒ 9k - 9 - 3k + 1 = 0 ⇒ 6k - 8 = 0 WebAug 24, 2024 · A Quadratic Equation will have equal roots if it satisfies the condition: b 2 – 4ac = 0. Given equation is x 2 + kx + k = 0. a = 1, b = k, x = k. Substituting in the equation we get,
WebSep 23, 2024 · Given, the quadratic polynomial is x² + kx + k. We have to find whether the zeros of the polynomial are equal for some odd integer k > 1. Assuming the zeros of the …
WebLet first zero of polynomial is P and 2nd is 2P. sum of zeros = - (coefficient of x )/ (coefficient of x²) P + 2P = - (-3K)/1 = 3K P = K ------ (1) again, product of zeros = constant/coefficient of x² P.2P = 4K/1 2P² = 4K P² = 2K put equation (1) value (K)² = 2K K (K -2) = 0 K = 0, and 2 Thank you Suggest Corrections 10 Similar questions Q. small spots around mouthWeb(ii) If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial. (iii) If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial. (iv) The only value of k for which the quadratic polynomial kx 2 + x + k has equal zeros is 1/2 small spots on armsWebThe only value of k for which the quadratic polynomial kx2 + x + k has 1 2 (D) Short Answer Questions 1 x 2, and verify the 6 relation between the coefficients and the zeroes of the polynomial. Sample Question 1:Find the zeroes of the polynomial x2 + Solution : x2 + 1 1 1 x 2= (6x2 + x 12) = [6x2 + 9x 8x 12] 6 6 6 small spots on child\u0027s faceWebSep 16, 2024 · Answer: For a Quadratic Equation to have equal roots, it must satisfy the condition: But in the question, it is given that k is greater than 1. Hence the value of k is 4 … small spotlights for artWebThe zeroes of the quadratic polynomial x2 + 99x + 127 are (A) both positive (B) both negative (C) one positive and one negative (D) both equal 8. The zeroes of the … highway 79 tucsonWebMar 29, 2024 · Question 10 The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0, cannot both be positive (b) cannot both be negative (c) are always unequal (d) are … small spots all over bodyWebCan the quadratic polynomial x 2 + kx + k have equal zeroes for some odd integer k > 1? Open in App Solution A quadratic equation will have equal roots if it satisfies the … small spots on arms itchy