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Let h be a polynomial of degree 5, and suppose that \(h(x) = (x^2-7x+10) \cdot g(x)\), where g(x) is a polynomial of degree b. Find b.

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geno3141 · Answer 1 · 2021-09-04T03:53:02

g(x) is of degree 3.

For example, if g(x) = x³, then (x² - 7x + 10)(x³} = x⁵ - 7x⁴ + 10x³; a ploynomial of degree 5.

If g(x) has a degree larger than 3, h(x) will have a degree larger than 5.

If g(x) has a degree smaller than 3, h(x) will have a degree smaller than 5.