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Karen R.

Algebra 2

1 month, 1 week ago

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The function below has at least one rational zero. Use this fact to find all zeros of the function. h(x)=2x^3-7x^2-17x+10

for this question we are going to find all the zeros of the given polynomial function possible rational zeros are going to be positive or negative factors of 10. Okay. Over factors of two. Yeah. Mhm. I have already done some trial and error and I know that -2 is one of the Zeros. So let's do the synthetic division and carry on from there. We are going to bring down the two Multiply by -2 combine Multiply by -2, Combine multiply by -2 and we get a remainder of zero. The resulting quadratic can be factored. Mhm. Yeah, yeah. Set each of those factors equal to zero and solve our solutions are negative two, one half and five. Those are the zeros of this polynomial.

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In mathematics, an absolute value or modulus is the value of a number without regard to its sign. The absolute value of a real number is also called its magnitude. For example, the absolute value of five is five, but neither –5 nor 5. The absolute value of a number may be thought of as its distance from zero, as a measure of how far it is from zero on a number line. In mathematics, the absolute value (or modulus) of a real number "x" is denoted by |x|. The absolute value of a nonzero real number is greater than or equal to zero. It is also equal to the distance between the number and zero measured in the direction opposite to the negative one. The absolute value of a real number is also called its value, magnitude, or size.

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In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving this equation is the process of finding the value of the unknown expression when the other expression is given. An equation is an expression of equality. The unknown appears on the left and the expression on the right of the equals sign. For example, the equation 2x + 3 = 4 has the unknown x and the expression 2x + 3 on the left and the number 4 on the right.

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