Answer: 16
Explanation:
x² - kx + 64
Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors: √64 = 8
So, the factors are: (x - 8)(x - 8)
Foil (or distribute) to get: x² - 16x + 64 The k-value is 16
The positive value of k that would make the left side of the equation a perfect square trinomial is 16.
The given trinomial is x² - kx + 64.
We need to find the positive value of k in the given trinomial.
Factoring Trinomials in the form x²+ bx + c
To the factor, a trinomial in the form x² + bx + c, find two integers, r and s, whose product is c and whose sum is b.
Rewrite the trinomial as x² + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Now, the factorisation of a given trinomial is x² - kx + 64
Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors √64 = 8
So, the factors are: (x - 8)(x - 8)
Then, the trinomial is x² - 16x + 64 which is equal to x² - kx + 64.
Hence, the positive value of k that would make the left side of the equation a perfect square trinomial is 16.
To learn more about the factorisation of trinomial visit:
brainly.com/question/13496719.
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