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A day full of math games & activities. Find one near you.
What is the factored form of 2x2 - 7x + 6?
Solution:
Let y = 2x2 - 7x + 6
Let us factor this polynomial by splitting the middle term.
From the factors of 12 (6 × 2) which are 1, 2, 3, 4, and 6 we have:
y = 2x2 - 3x - 4x + 6
= x(2x - 3) - 2(2x - 3)
= (2x - 3)(x - 2)
The zeroes of the function can be obtained by equating the factors with zero as shown below:
2x - 3 = 0 ⇒ x = 3/2
And
x - 2 = 0 ⇒ x = 2
What is the factored form of 2x2 - 7x + 6?
Summary:
The factored form of 2x2 - 7x + 6 is (2x - 3)(x - 2)
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