a) What expression must be written on the blank to produce a perfect square trinomial? 4 x2 + 3*+ - 1 b) What constant term makes the trinomial x2 x + a perfect square? - c) Ten more than the square of a number is equal to 11 times the number. Find the number

Q: Find the last term to make the trinomial into a perfect square: x2 + 8x + When this is factored, it…

A: If we have to find the last term of the equation  , then compare the equation with this general…

Q: 3. What should be the value of k so that 9x + 42x +k is a perfect square trinomial? Answer: 4.…

A:

Q: Find the last term to make the trinomial into a perfect square: x2 + 16x + When this is factored, it…

A: Make Perfect square if quadratic expression

Q: What value of c makes the following into a perfect square? x² + 24x+c

A: Recall: Let P(x)=ax2+bx+c be a polynomial. P(x) is perfect square if b2=4ac We have a=1, b=24, c=c

Q: x2-6x = 7

A:

Q: Can you give me an example of a perfect square trinomial?

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Q: Find the last term to make the trinomial into a perfect square: 6x + - When this is factored, it…

A: For trinomial term ax2+bx+__, to make it perfect square last term should be c=(Middle term)24(First…

Q: Questlon Complete the square to form a perfect-square trinomlal. x²+12x The perfect-square trinomial…

A: We use completing square method

Q: What are the steps for answering this question?: Determine the value of k that makes the expression…

A: The given expression is : x2+4x+k  To find the value of k that makes the expression a perfect…

Q: Given the quadratic equation 3x+6=−6x2 A) Determine the value of the discriminant…

A:

Q: . What number makes x -10x+ is a perfect square trinomial?

A: Topic-basic maths

Q: Q2/ Find L- }, by completing square. s2+

A:

Q: 11. For which values of a and b the expression x° + a x°+ 36 is a perfect square trinomial?

A: (11) Consider the given expression: x8+axb+36 Formula for perfect square trinomial is given by:…

Q: The possible missing terms to make x2+ + 100 a perfect square trinomial are O - 20 and 20 O dand 25…

A:

Q: Determine the value of bb so that 4x^2+bx+49is a perfect square

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Q: The square root of 37 is between which two integers

A: The square root of 37 is between which two integers

Q: What is the swuare root of 7x-3

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Q: What is the bigger perfect square of the square of 27

A: Given, We have to find the  bigger perfect square of the square of 27.

Q: 11 Multiply the two expressions to find the area of this parallelogram as a quadratic trinomial. ?/1…

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Q: How will you know that the expression is a perfect square trinomial? 2. Why is it necessary to…

A: Both the answers are given below

Q: Determine the value of b so that 4x^2+bx+49 is a perfect square

A:

Q: Solve for the roots in simplest form by completing the square: -6x² -96x 90 = 0

A: Given, -6x2-96x-90 = 0   We have to find the roots in simplest form by completing the square method.…

Q: Find the last term to make the trinomial into a perfect square: x2 + 3 When this is factored, it…

A:

Q: 5. The area of the rectangle is given. What are the dimensions (length and width)? A = x2 + 3x – 54

A: The area of a rectangle is equal to: Area=Length×width=L×W Now, we are given that the area of the…

Q: Find the roots of 4x2+3x+5=0  by the method of completing the square

A:

Q: 12) Use the discriminant to determine the number and types of solutions for: 5x2 + 6x - 2 = 0…

A:

Q: 3. What should be the value of k so that 9x +42x +k is a perfect square trinomial? Answer: 4.…

A: The given trinomial is9x2+42x+k

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic ed 5x…

A:

Q: Determine what to add to make the trinomial a perfect square. x2+8x+___

A: Given that:   x2+8x+

Q: 1. In the expression 4x2 - 4mx+ (m + 6), find the value of m to make it a perfect squ trinomial.

A:

Q: What is the value of k so that x -xy + is a perfect square trinomial? k

A: Given that, the given polynomial is x2-xy2+y4k, Compare the polynomial x2-xy2+y4k with the general…

Q: Find the last term to make the trinomial into a perfect square: x2 + 7x + When this is factored, it…

A:

Q: Solve the following perfect square trinomial by factoring. 49x2 + 84x + 36 = 0 O x= - O x= - $, § O…

A: The detailed solution is given below Thank you

Q: By completing the square, the expression x2+4x+19x2+4x+19 equals (x+A)2+B(x+A)2+B where A and b

A:

Q: Which of the following trinomials can be factored into the perfect square (6x - 6)2?

A: Recall:  (a-b)2=a2-2ab+b2 We have, a=6x, b=6

Q: A formula for factoring a perfect square trinomial is A + 2AB + B? =

A: A formula for factoring a perfect square trinomial is A2+2AB+B2=___________

Q: of Find [lo9.(x²+1)|

A: Here, the objective is to evaluate the given differentiation.

Q: The quantity under the radical sign of the Quadratic Formula, b2 − 4ac, is the ________.

A: The quantity under the radical sign of the Quadratic Formula, b2 − 4ac, is the Discriminant…

Q: Use Descartes' Rule of Signs to determine the possible number of positive and negative solutions.…

A: 18. The given polynomial is 8x3-21x2+6=0. Take the polynomial in the above equation as…

Q: In Exercises 138–139, find all integers k so that the trinomial is a perfect square trinomial. 138.…

A: Given: kx2+8xy+y2 Formula: (a+b)2=a2+2ab+b2

Q: Findthe roots of theequation 5x² -6x-2=0 bythemethodof completing square.

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Q: Supply the missing term to complete the perfect square trinomial.

A: given x2-16x

Q: If you were to solve x + 24x 53 = 0 by completing the %3D - square, what is the constant term that…

A:

Q: Illustrate how one can complete the square using symbolic notation and algebra tiles to rewrite the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Now fill in the blanks in the following to make perfect squares. ² + 14x+ 3D (х+ 2²– 8x+ = (x- | x²…

A: for making perfect square add half coefficient of x.

Q: 3. Identify a, b, c in the quadratic equation, 2x+ 5 = 3x

A:

Q: When completing the square, what value must you add to both sides of the equation to create a…

A: To find the value that you add to both sides of the equation to create a perfect square trinomial

Q: Heron of Alexandria solved the quadratic equation x2 + x + x = 212 by multiplying both sides by 11·…

A: To solve the below quadratic equation by multiplying both sides by 11⋅14. 1114x2+227x+x=212

Q: The Special Factoring Formula for a "perfect square" is A + 2AB + B = . So x² + 10x + 25 factors as

A: Given: A2+2AB+B2=?x2+10x+25=?