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What is the degree of the polynomial and what the y-intercept

What is the degree of the polynomial and what the y-intercept-example-1

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Answer:

Polynom degree: 5

Y intercept point: (0, 80)

Explanation:

P(x)=(x+5)(x+4)²(x+1)²

When you expand, the highest power of x is 1 for first term (x+5), 2 for second term (x+4)² and again 2 for (x+1)². Overall, x⁵ will be the x term with highest power. So the degree of the polynom is 5.

The y intercept, i.e. intersection with OY axis, happens for x=0. Thus, P(0)=5×4²×1²=5×16=80. The y intercept point is (0, 80)

User Matthew Crumley
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