Determine Which Polynomial Is A Perfect Square Trinomial 49x 2 28x 16 4x 2 12x 9 4x2 12x 9 2 The trinomial 4x 2 12x 9 4x2 12x 9 is a perfect square trinomial because it s discriminant is equal to zero Delta b 2 4ac 12 2 4 left 4 right left 9 right 0 b2 4ac 122 4 4 9 0 3 Using the
Jun 8 2015 0183 32 Answer link I usually try to calculate the Delta x If it is equal to zero it is a perfect square You can calculate it using the formula Delta x b 2 4ac So in this case you have Delta x 28 2 4 16 49 784 3136 lt 0 So you can t even factor this trinomial Popular Problems Algebra Find the Perfect Square Trinomial 49x 2 bx 9 49x2 bx 9 49 x 2 b x 9 Reorder 49x2 49 x 2 and bx b x bx 49x2 9 b x 49 x 2 9 Factor out the 49 49 49 x2 bx 49 9 49 49 x 2 b x 49 9 49 To find the c c value c b 2 2 c b 2 2 divide the coefficient of x x by 2 2 and square the result
Determine Which Polynomial Is A Perfect Square Trinomial 49x 2 28x 16
Determine Which Polynomial Is A Perfect Square Trinomial 49x 2 28x 16
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How to identify a perfect square trinomial We can follow the following tips to determine if a trinomial is a perfect square trinomial Check if the first and last terms of the trinomial are perfect squares Multiply the roots of the first and last terms Compare the result of the multiplication with the middle term If the first and last terms
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Determine Which Polynomial Is A Perfect Square Trinomial 49x 2 28x 16
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Sep 11 2018 0183 32 Expert Verified Answer question 81 people found it helpful MrsStrong Answer 9a2 30a 25 Step by step explanation Perfect square trinomials follow these forms Notice that 25b2 45b 81 and 16x2 24x 9 have too many minus signs They do not follow the form Notice that 49x2 28x 16 would have a 7 and b 4 But 2ab should
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Nov 29 2016 0183 32 8 06 Which polynomial is a perfect square trinomial 49x2 28x 16 4a2 20a 25 25b2 20b 16 Get the answers you need now 49x2 28x 16 4a2 20a 25 25b2 20b 16 brainly
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Sep 23 2016 0183 32 To find perfect square trinomials you need to take the square root out of the first term in the polynomial and multiply that by the square root of the last term in the polynomial and then multiply those together by 2 and if it equals to the middle term then it is a perfect square trinomial
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Determine which polynomial is a perfect square trinomial 49x 2 28x 16 9a 2 30a 25 25b 2 45b 81 16x 2 24x 9 This problem has been solved You ll get a detailed solution from a subject matter expert that helps you learn core concepts
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Determine which polynomial is a perfect square trinomial 49x 2 28x 16 9a 2 30a 25 25b 2 45b 81 16x 2 24x 9 Instant Video Answer Instant Text Answer Step 1 7 1 A perfect square trinomial is of the form ax b 2 a 2x 2 2abx b 2 Step 2 7 2 The first and last terms of the trinomial must be perfect squares Step 3 7 3
Additionally notice that the middle term is two times the product of the numbers that are squared 2 x 4 8 x This tells us that the polynomial is a perfect square trinomial and so we can use the following factoring pattern a 2 2 a b b 2 a b 2 In our case a x and b 4 An expression is said to a perfect square trinomial if it takes the form ax 2 bx c and satisfies the condition b 2 4ac The perfect square formula takes the following forms ax 2 2abx b 2 ax b 2 ax 2 2abx b 2 ax b 2
Popular Problems Algebra Determine if the Expression is a Perfect Square 49x 2 98x 49 49x2 98x 49 49 x 2 98 x 49 A trinomial can be a perfect square if it satisfies the following The first term is a perfect square The