One of the factors of 3p5 - 12p3 is
p × 4
p + 2
p × 2 + 4
4
Solution:
Given, 3p5 - 12p3
A factor is a number that divides the given number without any remainder.
Factors of a number can be referred to as numbers or algebraic expressions that evenly divide a given number/expression.
The factors of a number can either be positive or negative.
Taking out common term,
= 3p3 (p2 - 4)
Using the algebraic identity:
a2 - b2 = (a + b) (a - b)
= 3p3 (p + 2) (p - 2)
So (p + 2) is a factor.
Therefore, one of the factors is (p + 2).
Example: One of the factors of 4p5 − 16p3 is (a). p4 (b). p+2 (c). p2 + 4 (d). 4
Solution:
Given, 4p5 - 16p3
Taking out common term,
4p³(p² - 4)
4p³(p+2)(p-2)
(p+2) is a factor.
Therefore, from the given option the factor is (p+2).
One of the factors of 3p5 - 12p3 is:
Summary:
One of the factors of 3p5 - 12p3 is (p + 2). A factor is a number that divides the given number without any remainder.
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