When the polynomial is written in standard form, what are the values of the leading coefficient and the constant? 5x + 2 - 3x^2
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Using division and the graph, the zeroes of the function are given as follows:
- x = -1 with multiplicity 2.
- x = 2/3 with multiplicity 1.
The function in this problem is defined as follows:
f(x) = -3x³ -4x² + x + 2.
From the graph, we have that x = -1 is a zero of the function, meaning that it can be written as follows:
-3x³ -4x² + x + 2 = (x + 1)(ax² + bx + c).
The other zeros will be the zeros of ax² + bx + c. To find the coefficients, we use a system of equations, hence:
(x + 1)(ax² + bx + c) = -3x³ -4x² + x + 2
ax³ + (a + b)x² + (c + b)x + c = 2.
Hence the coefficients are given by:
- a = -3.
- c = 2.
- a + b = -4 -> b = -1.
Thus the quadratic equation that we have to solve is:
-3x² - x + 2 = 0
3x² + x - 2 = 0.
Hence:
The zeroes of the function are given as follows:
- x = -1 with multiplicity 2.
- x = 2/3 with multiplicity 1.
More can be learned about the zeroes of a function at brainly.com/question/65114
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