Which number makes this equation true?
v^2+10v+16=(v+8)(v+?)
2
Expanding the right side of the equation gives:
v^2 + 8v + 8v + 64 = v^2 + 16v + 64
Therefore, the correct number to make the equation true is 2.
A)
What is the factored form of x^2 + 6x + 8?
To find the factored form of the quadratic expression x^2 + 6x + 8, we need to identify two numbers that multiply to 8 and add up to 6.
The numbers that satisfy these conditions are 2 and 4, because 2 * 4 = 8 and 2 + 4 = 6.
Therefore, the factored form of x^2 + 6x + 8 is:
(x + 2)(x + 4)
A)
What is the factored form of x^2 – 7x + 12?
To factor the quadratic expression x^2 - 7x + 12, we need to find two numbers that multiply to 12 and add up to -7.
The numbers that meet these conditions are -3 and -4 because -3 * -4 = 12 and -3 + (-4) = -7.
Therefore, the factored form of x^2 - 7x + 12 is:
(x - 3)(x - 4)
A)
The area of a garden is given by the trinomial g^2 – 2g – 24. The garden’s length is g + 4.
What is the garden’s width?
To find the width of the garden, we need to factor the trinomial g^2 - 2g - 24 and identify the correct term that represents the width.
The factored form of the trinomial g^2 - 2g - 24 is given by:
(g - 6)(g + 4)
Since the length of the garden is g + 4, we can infer that the width is g - 6.
Therefore, the width of the garden is represented by g - 6.