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Polynomial function question?

11. Determine an equation for each polynomial function described below. State whether the function is even, odd, or neither. Sketch a graph of each.

a) A quntic function with zeroes at -2 (order 3) and 3 (order 2), and that has a y intercept at 70.

My attempt was.. (x+2)^3 (x-3)^2 + 70 .

However the answer is 35/36 (x+2)^3 (x-3)^2

Another one : A quartic function has x int at -3(roder 2) and 1 (order 2) that passes through the point (0, -12)

My attempt : (x+2)^2 (x-1)^2 -12

Real answer : -3 (x+2)^2 (x-1)^2

My question is... How do i show the Y intercepts in these factor form equations? What do i need to do? Please help!! thanks

2 Answers

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  • 10 years ago
    Favorite Answer

    11. Determine an equation for each polynomial function described below. State whether the function is even, odd, or neither. Sketch a graph of each.

    a) A quntic function with zeroes at -2 (order 3) and 3 (order 2), and that has a y intercept at 70.

    My attempt was.. (x+2)^3 (x-3)^2 + 70 .

    ALMOST CORRECT

    P(x)=A (x+2)^3 (x-3)^2

    y-int of 70 is the point (0,70)

    That is x=0 when y=P9x)=70

    70 = A (0+2)^3(0-3)^2

    70 =A(8)(9)

    70=72A

    A=70/72

    A=35/36

    P(x)=35/36(x+2)^3 (x-3)^2

    However the answer is 35/36 (x+2)^3 (x-3)^2

    Another one : A quartic function has x int at -3(roder 2) and 1 (order 2) that passes through the point (0, -12)

    P(x)=A(x+3)^2 (x-1)^2

    12=A(0+3)^2(0-1)^2

    12=A(9)(1)

    12=9A

    A=12/9

    A=4/3

    P(x)=4/3(x+3)^2 (x-1)^2

  • ?
    Lv 4
    5 years ago

    the degree of a polynomial is the utmost exponent of any variable interior the polynomial. the first one has a time period that's -2x^2*x*x that's -2x^4 the exponent is 4; so is the degree. 4(x+3)^3 has an x^3 time period, ergo degree 3 i dont know if that helped, yet frequently for determining the degree, the first element to do is to multiply your polynomial out. that this is multiply the elements at the same time till you have not any parentheses. then order the words in descending order, which potential the first time period is ax^n, the 2d is bx^(n-a million), and the basically properly time period is a few consistent c now it truly is common: the degree is n. by using ways, having performed all of that, you're also waiting to do a gaggle of alternative functional polynomial issues.

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