Question

verify the relation between zeros and coefficients of the quadratic polynomial x2-4​

Answer 1

Answer:

Find zeros of the quadratic -

→ x² - 5x + 4 = 0

Answer :-

→ zeros are 4 and 1

Solution :-

We have quadratic -

→ x² - 5x +4 = 0

Splitting the middle term

→ x² - 4x - x +4 = 0

→ x(x - 4) -1(x - 4) = 0

→ (x - 4)(x - 1) = 0

→ x = 4 or 1

Verification

If x = 4

→ (4)² - 5×4 + 4 = 0

→ 16 - 20+4 = 0

→ 20-20 = 0

If x = 1

→ (1)² - 5 + 4 = 0

→ 1 - 1 = 0

→ 0 = 0

Hence verified

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