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3 years ago

Find the zero of the polynomial x² - 4x + 3

Mathematics

1 answer:

Afina-wow [57]3 years ago

3 0

Answer:

Zeros are 3 and 1.

GIVEN:

P(x) = x²-4x+3

TO FIND:

Zeros and to verify the relationship between zeros and coefficients.

SOLUTION:

=> x²-4x+3 = 0

=> x²-3x-x+3 = 0

=> (x²-3x)+(-x+3) = 0

=> x(x-3)-1(x-3) = 0

=> (x-3)(x-1) = 0

Either (x-3) = 0

=> x = 3

Either (x-1) = 0

=> x = 1

Formula:

=> Sum of zeroes (α+β) = -(Coefficient of x)/Coefficient of x²

=> Product of zeroes (αβ) = Constant term/ Coefficient of x²

Sum of zeros:

= 3+1

=> -(-4)/1 = -(Coefficient of x)/Coefficient of x²

Product of zeros:

= 3(1)

=> 3/1 = Constant term/ Coefficient of x²

the answer is 3 and 1

plz mark me as a brainlest.

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3 years ago

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Step-by-step explanation:

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3 years ago

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IgorLugansk [536]

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2 years ago

A curve has the equation y = x^3 + 3x^2 − 16x + 2. a) Find an equation of the tangent to the curve at the point P (2, −10). Ive

Vesnalui [34]

The equation of the tangent to the curve at the point P(2, -10) is:
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Now we have a quadratic:
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Therefore the coordinates of Q are (-4, 48).

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3 years ago

Find the zero of the polynomial x² - 4x + 3​

Find the zero of the polynomial x² - 4x + 3