Question

I'LL GIVE YOU 40 POINTS!!!!

Answer 1

using the FOIL method the equation gets pretty long

Multiply each term by each term and combine like terms the given equation simplifies to:

f(x) = -2x^5 - 9x^4 - 8x^3 + 15x^2 +28x + 12

The degree is equal to the highest exponent, which is the 5 on -2x^5

The degree is 5

The y intercept is the value of y when x is 0

Replace all the x's with 0 and solve the equation:

f(x) = -2(0)^5- 9(0)^4 - 8(0)^3 + 15(0)^2 +28(0) + 12

= 0 -0 -0 + 0 +0 +12 = 12

The y intercept is (0,12)

Answer 2

Answer: Degree is 5 and y-intercept is (0, 12)

Step-by-step explanation:

Since, the highest exponent in the polynomial is called the degree of the polynomial or we can say the power of the term of leading coefficient is called degree of the polynomial.

Since, given polynomial,

$f(x) = -(x + 1)^2(2x-3)(x + 2)^2$

Since, When we solve the above expression the highest power of variable x that we found, is 5.

Therefore, the degree of the given polynomial is 5.

Also, we will get the y-intercept of the function f(x) at x =0,

By putting x=0 in the given polynomial, we get y = -1 × -3 × 4 =12

Therefore, y-intercept of the above function is (0,12)