4. what are the zeros of the polynomial function y= 2x2-3x+1?
a. 1/2,1
b. -2,1
c. -1, -5
d. -1, -1/5

A

Step-by-step explanation:

Given

y = 2x² - 3x + 1

To find the zeros let y = 0, that is

2x² - 3x + 1 = 0

Consider the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 1 = 2 and sum = - 3

The factors are - 2 and - 1

Use these factors to split the x- term

2x² - 2x - x + 1 = 0 ( factor the first/second and third/fourth terms )

2x(x - 1) - 1(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x - 1) = 0

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x =

x - 1 = 0 ⇒ x = 1

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.