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To determine the value of ( b ) that makes the trinomial a perfect square, you typically want to express the trinomial in the form ( (x + a)^2 ), which expands to ( x^2 + 2ax + a^2 ). By comparing coefficients, if the trinomial is in the form ( x^2 + bx + c ), you can set ( b = 2a ) and ( c = a^2 ). Thus, you can solve for ( b ) given specific values of ( a ) or ( c ). If you have a specific trinomial in mind, please provide it for precise calculations.
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What value of c makes the polynomial below a perfect square trinomial x2-14x plus c?
-12
What makes the polynomial a perfect square trinomial 4x2-32x plus?
64
How do you describe a perfect square trinomial?
A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It takes the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2), where (a) and (b) are real numbers. The resulting trinomial can be factored as ((a + b)^2) or ((a - b)^2). This characteristic makes perfect square trinomials particularly useful in algebra for solving equations and simplifying expressions.
How do you find the value of c that makes each trinomial a perfect square?
The answer will depend on what c is!If the trinomial is ax^2 + bx + c then the required value of c is (b^2)/(4a)
What value in place of the question mark makes x2 plus 26x plus A perfect square trinomial?
To make the expression (x^2 + 26x + A) a perfect square trinomial, we need to find the value of (A) that completes the square. The formula for a perfect square trinomial is ((x + b)^2 = x^2 + 2bx + b^2). In this case, we have (2b = 26), so (b = 13). Thus, (A) must be (b^2 = 13^2 = 169). Therefore, the value of (A) is 169.
What value in place of the question mark makes the polynomial below a perfect square trinomial?
What value, in place of the question mark, makes the polynomial below a perfect square trinomial?x2 + 12x+ ?
What value of c makes the polynomial below a perfect square trinomial 4x2-32x plus c?
64
What value of c makes the polynomial below a perfect square trinomial x2-14x plus c?
-12
What value in place of the question mark makes the polynomial below a perfect square trinomial x2 plus 24x plus questionmark?
144
What makes the polynomial a perfect square trinomial 4x2-32x plus?
64
What value in place of the question mark makes the polynomial below a perfect square trinomial 9x2 plus questionmark x plus 49?
48
What value of c makes 4x2-36x plus c a perfect square trinomial?
81.
How do you describe a perfect square trinomial?
A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It takes the form (a^2 + 2ab + b^2) or (a^2 - 2ab + b^2), where (a) and (b) are real numbers. The resulting trinomial can be factored as ((a + b)^2) or ((a - b)^2). This characteristic makes perfect square trinomials particularly useful in algebra for solving equations and simplifying expressions.
How do you find the value of c that makes each trinomial a perfect square?
The answer will depend on what c is!If the trinomial is ax^2 + bx + c then the required value of c is (b^2)/(4a)
What value in place of the question mark makes the polynomial below a perfect square trinomial x2 plus 22 x plus?
x2 + 22x + 121 to get this divide 22 by 2... then square the answer you get from that 22/2 = 11 112 = 121
What value in place of the question mark makes x2 plus 26x plus A perfect square trinomial?
To make the expression (x^2 + 26x + A) a perfect square trinomial, we need to find the value of (A) that completes the square. The formula for a perfect square trinomial is ((x + b)^2 = x^2 + 2bx + b^2). In this case, we have (2b = 26), so (b = 13). Thus, (A) must be (b^2 = 13^2 = 169). Therefore, the value of (A) is 169.
Which value of c makes y2 8y c a perfect square trinomial?
To make the expression y^2 + 8y + c a perfect square trinomial, we need to find the value of c that completes the square. The formula to complete the square is (b/2)^2, where b is the coefficient of the y-term, which is 8 in this case. So, (8/2)^2 = 16. Therefore, the value of c that makes the trinomial a perfect square is 16.
