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baherus [9]
2 years ago
10

Factorise the following: 1)   -10x² + 31x +142)   -24x² + 35x -4

Mathematics
1 answer:
katrin2010 [14]2 years ago
3 0
-10x^{2} + 31x + 14 \\10x^{2} - 4x + 35x + 14\\-2x(5x) - 2x(2) + 7(5x) + 7(2)\\-2x(5x + 2) + 7(5x + 2)\\(-2x + 7)(5x + 2)

-24x^{2} + 35x - 4 \\-24x^{2} + 32x + 3x - 4 \\-8(3x) + 8(4) + 1(3x) - 1(4) \\-8x(3x - 4) + 1(3x - 4) \\(-8x + 1)(3x - 4)
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Step-by-step explanation:

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<h3>Vertex</h3>

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The y-intercept is the point where the graph crosses the y-axis. On this graph, the y-intercept is (0, 8).

<h3>X-intercepts</h3>

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<em>Additional comment</em>

The reminder that these are "points" is to ensure that you write both coordinates as an ordered pair. We know the x-intercepts have a y-value of zero, for example, so there is a tendency to identify them simply as x=2 and x=4. This problem statement is telling you to write them as ordered pairs.

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