F(x)=4x^2+4x-15 Write the function D in intercept form. Use this form to list the zeros of the function.
1 answer:
Answer:
Zeros are x = 1.5, -2.5
Step-by-step explanation:
Given function is,
F(x) = 4x² + 4x - 15
= 4(x² + x - 3.75) [Since, intercept form of a quadratic equation is the factored form of the function]
F(x) = 4(x² + 2.5x - 1.5x - 3.75)
= 4[x(x + 2.5) - 1.5(x + 2.5)]
= 4(x - 1.5)(x + 2.5)
For 'x' intercepts,
f(x) = 0
4(x - 1.5)(x + 2.5) = 0
x = 1.5, -2.5
Therefore, zeros of the given function are x = 1.5, -2.5.
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