Basic Math question and answers for September 23, 2024
- Q Which of the following is a root of the polynomial function below?F(x) = x + 3x -5x-4A. 1/2 - ?5/2B. 4C. 3D. 1/3 + ?5/3
- Q The following is the student's incorrect work in solving a quadratic using the zero product property. Explain the student's mistake.Step 1: x-3x - 4 = 8Step 2: (x-4) (x +...
- Q Which of the following polynomials is in standard form?A. F(x) = 5x+2x - x - 3B. F(x) = -3-x+2x +5xC. F(x) = 2x -x +5x-3D. F(x) = -3 +5x-x+2x
- Q Find a polynomial f(x) of degree 4 with real coefficients and the following zeros.-1 (multiplicity 2), 3+2i
- Q Which of the following shows the equation below rewritten in the formax +bx+c=0?(3x) = 8(x-1)A. 3x-8x+8 = 0B. 9x -8x+8=0C. 9x +8x-8=0D. 3x +8x-8=0
- Q Which statement describes the solutions of this equation?2/x+2 + 1/10 = 3/x+3A. The equation has two valid solutions and no extraneous solutions.B. The equation has no valid solutions and two...
- Q Which statement about k(x) = -x - 2x + 15 is true?F The zeros are -3 and 5, because k(x) = -(x+3)(x - 5).G The zeros are -5 and 3,...
- Q Select the correct labeling of a, b, and c to the standard form of the quadratic equation.a = 4, b = -2, and c = 74x + 5x - 2...
- Q What are the solutions to 2(x-7) = 32?A x = 7 ?32B x= ?65X=C x = 3 and x = 11D x = -1 and x = 15
- Q Consider the following quadratic function.g(x)=2x-16x+37(a) Write the equation in the form g (x)= a (x-h)+k. Then give the vertex of its graph.Writing in the form specified: g(x) =Vertex: (b) Graph...
- Q For the polynomial below, -3 is a zero.g(x)=x + 5x + 16x + 30Express g (x) as a product of linear factors.g(x) = 0
- Q Using the axis of symmetry formula, find the axis of symmetry and vertex for each equation.3. y=-x +10x-264. y=3x - 6x5. y=2x - 4
- Q If the roots of the equation x - 6x = 27 are p and t, and if t < p, then p =1/tt22t-tt+6
- Q Solve the equation by factoring.9x +21x-8=0
- Q Compute the discriminant. Then determine the number and type of solutions of the given equation.x^2-4x-6=0What is the discriminant?(Simplify your answer.)Choose the sentence that describes the number and type of solutions...
- Q Solve the equation by factoring.x = 6x +27Rewrite the equation in factored form.(x+3)(x-9) = 0(Factor completely.)The solution set is
- Q Solve the quadratic equation using the square root property.(x-7) = -3The solution set is(Simplify your answer. Type an exact answer, using radicals as needed. Express complex numbers in terms of...
- Q Solve the quadratic equation by completing the square x +6x+4=0. To complete the square, what number should be added to both sides of the equation?
- Q Solve the quadratic equation by completing the square.x - 10x+12=0First, choose the appropriate form and fill in the blanks with the correct numbers.Then, solve the equation. If there is more...
- Q If using the method of completing the square to solve the quadratic equation x + 8x + 37 = 0, which number would have to be added to "complete the...
- Q Andrea simplified a polynomial expression. The solution was 4x-7x + 5.Which of the following could have been the original expressions?SELECT ALL THAT APPLY.(3x-9x+8)+(x+2x-3)(2x - 4x-5)-(-2x + 3x - 10)(5x-2)-(x+7x+3)(4x +...
- Q The polynomial function g is defined by g(x)=-x-5x-4x + 4x-1.Use the ALEKS graphing calculator to find all the points (x, g(x)) where there is a local maximum.
- Q Solve the quadratic equation using the square root property.(x-5) = -3
- Q x2+5 2When trying to factor, Sarita says this polynomial is PRIME.Why is she correct?there are no numbers with a product of -2, and a sum of 5there are no numbers...
- Q Solve the quadratic equation by completing the square.x +8x+14=0First, choose the appropriate form and fill in the blanks with the correct numbers.Then, solve the equation. If there is more than...
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