Determine the x-intercept points of the function h(x) = (x – 5)(x – 6).
2 answers:
<h2>Answer: (5, 0) ; (6,0)</h2><h3>Step-by-step explanation:</h3>
The x-intercept occurs when h(x) = 0
∴ let 0 = (x – 5)(x – 6) [using the knowledge that for the
<em> produc to be 0, one of terms </em>
<em> must be zero]</em>
⇒ x - 5 = 0 ; x - 6 = 0 <em>[solve for x in each case]</em>
⇒ x = 5 ; x = 6
<h3>∴ the points of the x-intercept are (5, 0) & (6, 0)</h3><h3 /><h3> </h3><em><u>Check:</u></em>
<em>If we graph the line we can see whether the intercepts are truly (5, 0) and (6,0). As seen below in the Desmos graph, it is.</em>
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