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81x2 - 72x plus 16 is a perfect square trinomial true or false?
If a trinomial is a perfect square, then the discriminant will equal 0. The discriminant is equal to B^2-4AC. The variables come from the standard form of a quadratic which is Ax^2+Bx+C In this problem, A=81, B=-72, and C=16 so the discriminant is: (-72)^2-4(81)(16)=5,184-5,184=0 so this is a perfect square trinomial. To factor, notice that 81=9^2 and 16=4^2, so 81x^2=(9x)^2. We can then factor the trinomial into (9x+4)(9x-4)
4x2 plus 32x plus 8 is a perfect square trinomial?
false, in order to be one 8 would have to be a square number which it is not. So the constant term in the trinomial would need to be 4, 9, 16 etc.
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.
Is 16 perfect square?
16 is a perfect squarebecause 16 = 4 x 4
What is the largest perfect square factor of 48?
The largest perfect square factor of 48 is 16.
49x2 - 56x plus 16 is a perfect square trinomial?
True
Is 81c squared plus 72c plus 16 a perfect square trinomial?
Yes; the factored form would be (9c+4)(9c+4) or just (9c+4)2 Since the two factors are the same, the beginning trinomial 81c2+72c+16 is a perfect square trinomial
Is 49x2-56 plus 16 a perfect square trinomial?
yes, (7x - 4)2
81x2 - 72x plus 16 is a perfect square trinomial true or false?
If a trinomial is a perfect square, then the discriminant will equal 0. The discriminant is equal to B^2-4AC. The variables come from the standard form of a quadratic which is Ax^2+Bx+C In this problem, A=81, B=-72, and C=16 so the discriminant is: (-72)^2-4(81)(16)=5,184-5,184=0 so this is a perfect square trinomial. To factor, notice that 81=9^2 and 16=4^2, so 81x^2=(9x)^2. We can then factor the trinomial into (9x+4)(9x-4)
4x2 plus 32x plus 8 is a perfect square trinomial?
false, in order to be one 8 would have to be a square number which it is not. So the constant term in the trinomial would need to be 4, 9, 16 etc.
The polynomial below is a perfect square trinomial of the form A2 - 2AB plus B2 4x2-16x plus 16?
True
What value of c makes the polynomial x2 plus 16 plus c a perfect square trinomial?
(b/2)^2= 64
Is x2 plus 16x plus 16 a perfect square trinomial?
No. But it's only (8x) bigger than one perfect square, (24x) bigger than another one, and (48) smaller than another one.
Is 16 a perfect square root?
16 is a perfect square (of 4) and the square root of 256.
Is 16 a perfect number?
16 is a perfect square.
Is this a trinomial square 4x2 plus 16x plus 16?
It is; (2x+4)^2.
What is the perfect square of of 4?
the perfect square of 4 is 16
