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The given expression is: 4x² - 17x + 18 = 0

Determine the two integers such that the sum is -17 and the product is 4 * 18 = 72. They are -9 and -8. We can decompose -17x to:

4x² - 9x - 8x + 18 = 0

Factor-by-grouping, we obtain:

x(4x - 9) - 2(4x - 9) = 0

Therefore, the factors are (4x - 9)(x - 2)

If we want to determine the zeroes of the expression, set each binomial by 0 and solve for x. We obtain:

4x - 9 = 0 and x - 2 = 0

x = 9/4 and x = 2.

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Q: What is the factor of 4x2-17x plus 18?
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